Data

NameCarriazo Rubio, Alfonso
DepartmentGeometría y Topología
Knowledge areaGeometría y Topología
Professional categoryProfesor Titular de Universidad
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  • Items

    56

  • Visits

    5662

  • Downloads

    15718

  Publications

 

Final Degree Project
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Geometría diferencial de curvas en el espacio de Lorentz-Minkowski

Carriazo Rubio, Alfonso; Fernández Galán, Rebeca (2022-06-20)
En este trabajo estudiamos la geometría diferencial de curvas cuando consideramos un espacio diferente al espacio euclídeo. ...
Final Degree Project
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Causalidad en variedades de Lorentz teoremas de singularidad

Carriazo Rubio, Alfonso; Ruiz-Herrera Bernal, Manuel Francisco (2022-06-17)
En este trabajo se realizará un primer acercamiento a la teoría de Causalidad en variedades de Lorentz enfocada al estudio ...
Master's Final Project
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Aspectos Discretos de la Segunda Forma Fundamental de Subvariedades

Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Ramírez de Arellano Marrero, Antonio (2021-06-01)
En este trabajo estudiamos un tema que conecta elementos de dos áreas de las Matemáticas a priori separadas: estructuras ...
Article
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Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition

Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Loiudice, Eugenia (MDPI, 2020-06-02)
We prove that if the f-sectional curvature at any point of a (2n+s) -dimensional metric f-contact manifold satisfying the ...
Article
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Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms

Carriazo Rubio, Alfonso; Cho, Jong Taek; Martín Molina, Verónica (MDPI, 2020-05-29)
We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms.
Master's Final Project
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Subvariedades asociadas a grafos

Carriazo Rubio, Alfonso; Terrón Mejías, Gema (2020-02-01)
En este trabajo estudiamos un tema que conecta elementos de dos áreas de las Matemáticas tradicionalmente separadas: los ...
Final Degree Project
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Introducción al estudio de las superficies mínimas

Carriazo Rubio, Alfonso; Ortega Ureña, Juan José (2020-01-01)
En el presente documento se llevará a cabo una introducción a la teoría de superficies mínimas. Nuestro objetivo es triple: ...
Final Degree Project
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Introducción a las variedades de Einstein

Carriazo Rubio, Alfonso; Bellanato Núñez, Israel (2020-01-01)
En este trabajo se realiza un estudio introductorio de la teoría de variedades de Einstein. Para ello, primero se lleva a ...
Article
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A closed form for slant submanifolds of generalized Sasakian space forms

Alegre Rueda, Pablo Sebastián; Barrera López, Joaquín; Carriazo Rubio, Alfonso (MDPI, 2019-12-13)
The Maslov form is a closed form for a Lagrangian submanifold of Cm, and it is a conformal form if and only if M satisfies ...
Article
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Bi-slant submanifolds of para Hermitian manifolds

Alegre Rueda, Pablo Sebastián; Carriazo Rubio, Alfonso (MDPI, 2019-07-11)
In this paper, we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant, and hemi-slant submanifolds. We study their first properties and present a whole gallery of examples.
Final Degree Project
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Curvas planas con curvatura dependiendo de su posición

Carriazo Rubio, Alfonso; Márquez García, María del Carmen; Rodríguez Talaverón, Ana (2019-01-01)
En este trabajo se exponen curvas en las que su curvatura depende de la distancia a un punto o a una recta. En el primer ...
Master's Final Project
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Productos warped en variedades para-hermíticas y para-contacto métricas

Carriazo Rubio, Alfonso; García Cano, Daniel (2019-01-01)
In this work, we use the warped product as a bridge between two different geometries: para-Hermitian geometry and para-contact ...
Final Degree Project
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Fundamentos matemáticos de la relatividad general: algunos modelos cosmológicos

Carriazo Rubio, Alfonso; Galindo Álvarez, Julián María (2019-01-01)
En este trabajo vamos a desarrollar los conceptos, formalismos y herramientas matemáticas, propios de la Geometría ...
PhD Thesis
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La forma de Maslov de las subvariedades Slant.

Alegre Rueda, Pablo Sebastián; Carriazo Rubio, Alfonso; Barrera López, Joaquín (2018-11-30)
Final Degree Project
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Una Introducción geométrica a la teoría de Kaluza-Klein

Carriazo Rubio, Alfonso; Arenas Gullo, Adrián (2018-09-01)
In this work, we introduce some of the mathematical foundations that are needed to develop the ancestor of unifying theories: ...
Article
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A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces

Carriazo Rubio, Alfonso; Martín Molina, Verónica; Vrancken, Luc (Springer, 2018-01-01)
We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of (κ, µ)-spaces with Boeckx ...
Final Degree Project
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Geometría global de curvas planas

Carriazo Rubio, Alfonso; García Cano, Daniel (2017-06-01)
In this work we can clearly distinguish two parts. Firstly, we study and prove some classical theorems about the Global ...
Article
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Null pseudo-isotropic Lagrangian surfaces

Carriazo Rubio, Alfonso; Martín Molina, Verónica; Vrancken, Luc (Polish Academy of Sciences, Institute of Mathematics, 2017-01-01)
In this paper we will show that a Lagrangian, Lorentzian surface M 2 1 in a complex pseudo space form Mf2 1 (4c) is ...
Final Degree Project
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La geometría esférica

Carriazo Rubio, Alfonso; Valverde Martín, Carlos (2016-01-01)
In this work we present the main facts on Spherical Geometry, by using two different approaches: Differential Geometry and ...
Final Degree Project
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Una aproximación geométrica a la aerodinámica de curvas y superficies

Carriazo Rubio, Alfonso; Márquez García, María del Carmen; García Bedoya, Alejandro (2016-01-01)
In this work we present a method to improve the aerodynamics of curves and surfaces with respect to the air resistance. ...
Final Degree Project
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Aproximación de arcos circulares mediante curvas de Bézier

Carriazo Rubio, Alfonso; Márquez García, María del Carmen; García Vidal, Concepción (2016-01-01)
In this work we study two methods to produce B´ezier approximations of circular arcs. The first one uses a truncation of ...
Article
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The curvature tensor of (κ,μ,ν)-contact metric manifolds

Arslan, Kadri; Carriazo Rubio, Alfonso; Martín Molina, Verónica; Murathan, Cengizhan (Springer, 2015-07-01)
We study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined ...
Article
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New examples of generalized Sasakian-space-forms

Carriazo Rubio, Alfonso; Alegre Rueda, Pablo Sebastián; Özgür, Cihan; Sular, Sibel (Università di Torino, 2015-01-01)
In this paper we study when a non-anti-invariant slant submanifold of a generalized Sasakian-space-form inherits such a ...
Chapter of Book
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Contractions of certain Lie algebras

Carriazo Rubio, Alfonso; Fuente Benito, Daniel de la; Márquez García, María del Carmen; Romero Sarabia, Alfonso; Escobar Rica, José María; Núñez Valdés, Juan; Pérez Fernández, Pedro (Godel, 2015-01-01)
This communication is focused on the study of contractions of certain types of Lie algebras of low dimension, in order to ...
Chapter of Book
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Lagrangian translators under mean curvature flow

Carriazo Rubio, Alfonso; Fuente Benito, Daniel de la; Márquez García, María del Carmen; Romero Sarabia, Alfonso; Castro López, Ildefonso; Lerma Fernández, Ana María (Godel, 2015-01-01)
We provide a new construction of Lagrangian surfaces in C2 in terms of two planar curves. When we take such curves as ...
Chapter of Book
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Causal properties of doubly warped spacetimes

Carriazo Rubio, Alfonso; Fuente Benito, Daniel de la; Márquez García, María del Carmen; Romero Sarabia, Alfonso; Aké Hau, Luis; Flores Dorado, José Luis; Herrera Fernández, Jónathan (Godel, 2015-01-01)
In this talk we will describe the characterization of the chronological relation on doubly warped product spacetimes of ...
Chapter of Book
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Hipersuperficies isoparamétricas en el espacio hiperbólico complejo CHn

Carriazo Rubio, Alfonso; Fuente Benito, Daniel de la; Márquez García, María del Carmen; Romero Sarabia, Alfonso; Sanmartín López, Víctor (Godel, 2015-01-01)
Se presenta la clasificación de las hipersuperficies isoparamétricas del espacio hiperbólico complejo CHn, siguiendo el ...
Article
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Normal approximations of regular curves and surfaces

Carriazo Rubio, Alfonso; Márquez García, María del Carmen; Ugail, Hassan (Faculty of Sciences and Mathematics, University of Nis, Serbia, 2015-01-01)
Bezier curves and surfaces are two very useful tools in Geometric Modeling, with many applications. In this paper, we will ...
Chapter of Book
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Una aproximación geométrica a la aerodinámica de curvas y superficies

Carriazo Rubio, Alfonso; Fuente Benito, Daniel de la; Márquez García, María del Carmen; Romero Sarabia, Alfonso; García Bedoya, Alejandro; Carriazo Rubio, Alfonso; Márquez García, María del Carmen (Godel, 2015-01-01)
En este trabajo presentamos una primera aproximación al estudio geométrico de la aerodinámica de curvas y superficies. En ...
Chapter of Book
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Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces

Carriazo Rubio, Alfonso; Fuente Benito, Daniel de la; Márquez García, María del Carmen; Romero Sarabia, Alfonso; Gutiérrez López, Manuel; Olea Andrades, Benjamín (Godel, 2015-01-01)
Using a correspondence between totally umbilic null hypersurfaces in generalized Robertson-Walker spaces and twisted ...
Chapter of Book
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Diferenciales cuadráticas holomorfas en superficies lineales de Weingarten elípticas

Carriazo Rubio, Alfonso; Fuente Benito, Daniel de la; Márquez García, María del Carmen; Romero Sarabia, Alfonso; Bueno Linares, Jesús Antonio (Godel, 2015-01-01)
En este trabajo definimos una diferencial de Hopf para superficies lineales de Weingarten que además satisfacen una relación ...
Chapter of Book
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The uniformly accelerated motion in General Relativity from a geometric point of view

Carriazo Rubio, Alfonso; Fuente Benito, Daniel de la; Márquez García, María del Carmen; Romero Sarabia, Alfonso; Fuente Benito, Daniel de la (Godel, 2015-01-01)
The notion of a uniformly accelerated rectilinear motion of an observer in a general spacetime is analysed in detail. From ...
Article
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Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures

Cappelletti Montano, Beniamino; Carriazo Rubio, Alfonso; Martín Molina, Verónica (Elsevier, 2013-11-01)
We prove that every contact metric (κ, µ)-space admits a canonical η-Einstein Sasakian or η-Einstein paraSasakian metric. ...
Article
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Almost cosymplectic and almost Kenmotsu (κ, μ, ν)-spaces

Carriazo Rubio, Alfonso; Martín Molina, Verónica (Springer, 2013-08-01)
We study the Riemann curvature tensor of (κ, µ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, ...
Article
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The curvature tensor of almost cosymplectic and almost Kenmotsu ( κ, μ, ν ) -space

Carriazo Rubio, Alfonso; Martín Molina, Verónica (Springer, 2013-08-01)
We study the Riemann curvature tensor of (κ, µ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, ...
Article
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Generalized (κ,μ)-space forms

Carriazo Rubio, Alfonso; Martín Molina, Verónica; Tripathi, Mukut Mani (Springer, 2013-02-01)
Generalized (κ, µ)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
Presentation
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The curvature tensor of almost cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces

Carriazo Rubio, Alfonso; Martín Molina, Verónica (2013-01-01)
We study the Riemann curvature tensor of (κ,μ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, ...
PhD Thesis
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(k, µ)-Espacios de Curvatura Ø-Seccional constante generalizados

Carriazo Rubio, Alfonso; Martín Molina, Verónica (2011-01-01)
A lo largo de los años, numerosos autores han estudiado la forma del tensor de curvatura de una variedad Riemanniana para ...
Article
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Generalized (κ, µ)-space forms and d-homothetic deformations

Carriazo Rubio, Alfonso; Martín Molina, Verónica (2011-01-01)
We study the Da-homothetic deformations of generalized (κ, µ)- space forms. We prove that the deformed spaces are again ...
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On slant submanifolds of neutral Kaehler manifolds

Arslan, Kadri; Carriazo Rubio, Alfonso; Chen, Bang-Yen; Murathan, Cengizhan (Mathematical Society of the Republic of China, 2010-04-01)
An indefinite Riemannian manifold is called neutral it its index is equal to one half of its dimension and an indefinite ...
Article
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Generalized S-space-forms with two structure vector fields

Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fuentes Pino, Ana María (De Gruyter, 2010-01-01)
We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of ...
Article
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Some special types of developable ruled surface

Alegre Rueda, Pablo Sebastián; Arslan, Kadri; Carriazo Rubio, Alfonso; Murathan, Cengizhan; Özturk, Günay (Hacettepe University (Faculty of Science), 2010-01-01)
In this study we consider the focal curve Cγ of a space curve γ and its focal curvatures. We characterize some special ...
Article
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Submanifolds weakly associated with graphs

Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Rodríguez Hidalgo, Antonio (Indian Academy of Sciences, 2009-06-01)
We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated ...
Article
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Submanifolds of generalized Sasakian space forms

Alegre Rueda, Pablo Sebastián; Carriazo Rubio, Alfonso (Mathematical Society of the Republic of China, 2009-06-01)
In the present paper submanifolds of generalized Sasakian-spaceforms are studied. We focus on almost semi-invariant ...
Article
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B.-Y. Chen's inequality for submanifolds of generalized space forms

Alegre Rueda, Pablo Sebastián; Carriazo Rubio, Alfonso; Kim, Young Ho; Yoon, Dae Won (Indian National Science Academy, 2007-06-01)
In this article, we investigate sharp inequalities involving δ-invariants for submanifolds in both generalized complex space forms and generalized Sasakian space forms, with arbitrary codimension.
Article
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Minimal slant submanifolds of the smallest dimension in S-manifolds

Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Hans Uber, María Belén (European Mathematical Society, 2005-01-01)
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some ...
PhD Thesis
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Subvariedades en espacios de curvatura Ø-seccional constante generalizados

Carriazo Rubio, Alfonso; Alegre Rueda, Pablo Sebastián (2005-01-01)
La curvatura de Riemann es una importante herramienta en el estudio de variedades. Así, es de sobra conocida la clasificación ...
Presentation
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On generalized Sasakian-space-forms

Carriazo Rubio, Alfonso; Blair, David E.; Alegre Rueda, Pablo Sebastián (2004-01-01)
We study contact metric and trans-Sasakian generalized Sasakian-space-forms. We also give some interesting examples of generalized Sasakian-space-forms by using warped products and conformal changes of metric.
Article
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Some inequalities on totally real submanifolds in locally conformal Kaehler space forms

Carriazo Rubio, Alfonso; Kim, Young Ho; Yoon, Dae Won (Korean Mathematical Society, 2004-01-01)
In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the ...
Article
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Riemannian submersions and slant submanifolds

Cabrerizo Jaraíz, José Luis; Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Institute of Mathematics (University of Debrecen), 2002-01-01)
We study the relationship between slant submanifolds in both Complex and Contact Geometry through Riemannian submersions. ...
Article
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Existence and uniqueness theorem for slant immersions in Sasakian-space-forms

Cabrerizo Jaraíz, José Luis; Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Institute of Mathematics (University of Debrecen), 2001-01-01)
In this paper, we present the existence and uniqueness theorems for slant immersions into Sasakian-space-forms. By applying ...
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The contact Whitney sphere

Blair, David E.; Carriazo Rubio, Alfonso (Università del Salento, 2001-01-01)
In this paper, we introduce the contact Whitney sphere as an imbedding of the n-dimensional unit sphere as an integral ...
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Structure on a slant submanifold of a contact manifold

Cabrerizo Jaraíz, José Luis; Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Indian National Science Academy, 2000-07-01)
In this paper, we study the possibility of obtaining an induced contact metric structure on a slant submanifold of a contact metric manifold. We also give a characterization theorem for three-dimensional slant submanifolds.
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Semi-slant submanifolds of a Sasakian manifold

Cabrerizo Jaraíz, José Luis; Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Springer, 1999-11-01)
We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of ...
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A contact version of B.-Y. Chen's inequality and its applications to slant immersions

Carriazo Rubio, Alfonso (Kyungpook National University, 1999-01-01)
We establish a version of B.-Y. Chen’s inequality for a submanifold of a Sasakianspace-form, tangent to the structure ...
PhD Thesis
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Subvariedades Slant en variedades de contacto

Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Fernández Fernández, Luis Manuel; Carriazo Rubio, Alfonso (1998-05-19)
Las subvariedades slant constituyen un importante caso intermedio entre las subvariedades invariantes y anti-invariantes. ...