NombreFernández Fernández, Luis Manuel
DepartamentoGeometría y Topología
Área de conocimientoGeometría y Topología
Categoría profesionalProfesor Titular de Universidad
Correo electrónicoSolicitar
           
  • Nº publicaciones

    39

  • Nº visitas

    6386

  • Nº descargas

    45149


 

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A Discrete Representation of the Second Fundamental Form

Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Ramírez de Arellano Marrero, Antonio (MDPI, 2022)
We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed ...
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Can trans-S-manifolds be defined from the Gray-Hervella classification for almost Hermitian manifolds?

Alegre Rueda, Pablo Sebastián; Fernández Fernández, Luis Manuel; Soriano Trigueros, Manuel (Springer, 2022)
Recently, trans-S-manifolds have been defined as a wide class of metric f-manifolds which includes, for instance, f-Kenmotsu ...
Trabajo Fin de Máster
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Aspectos Discretos de la Segunda Forma Fundamental de Subvariedades

Ramírez de Arellano Marrero, Antonio; Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel (2021)
En este trabajo estudiamos un tema que conecta elementos de dos áreas de las Matemáticas a priori separadas: estructuras ...
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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)
We prove that if the f-sectional curvature at any point of a (2n+s) -dimensional metric f-contact manifold satisfying the ...
Trabajo Fin de Grado
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El espacio de Minkowski. la relatividad especial

González Galindo, Silvia; Fernández Fernández, Luis Manuel (2020)
En 1905, Einstein publicó la teoría de la Relatividad Especial, que describía satisfactoriamente el movimiento de partículas ...
Trabajo Fin de Grado
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Invariantes de superficies regladas no desarrollables

Terrón Mejías, Gema; Fernández Fernández, Luis Manuel (2018)
In this work, we are going to carry out an analysis of the most studied families in surface geometry, ruled surfaces, that ...
Trabajo Fin de Grado
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Cálculo de áreas encerradas por cicloides y trocoides usando el Teorema de Mamikon. Aplicaciones

Bermudo Martos, Ana María; Fernández Fernández, Luis Manuel (2018)
A point on the boundary of a circular disk that rolls once along a straight line traces a cycloid. The cycloid divides its ...
Trabajo Fin de Máster
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Las trans-S-variedades y la clasificación de Gray-Hervella.

Soriano Trigueros, Manuel; Fernández Fernández, Luis Manuel (2017)
Recently, trans-S manifolds have been defined as a natural generalization of f-Kenmotsu, S-manifolds and C-manifolds. This ...
Trabajo Fin de Grado
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Curvas rectificantes

Jácome Maura, Francisco; Fernández Fernández, Luis Manuel (2017)
Rectifying curves are curves whose position vector always lies in their rectifying plane. In this dissertation, we present ...
Trabajo Fin de Grado
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La cicloide

Corcho Gutiérrez, Fernando Manuel; Fernández Fernández, Luis Manuel (2017)
La definición más sencilla que podemos hacer de la cicloide es la de una curva plana descrita como la trayectoria de un ...
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The L-sectional curvature of S-manifolds

Akyol, Mehmet Akif; Fernández Fernández, Luis Manuel; Prieto Martín, Alicia (Düzce Üniversitesi, 2016)
We investigate L-sectional curvature of S-manifolds with respect to the Riemannian connection and to certain semi-symmetric ...
Tesis Doctoral
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Lagrangian submanifolds in complex space forms, the Maslov form in S-manifolds, generalized S-space forms and n-Einstein para-S manifolds

Prieto Martín, Alicia; Fernández Fernández, Luis Manuel; Alegre Rueda, Pablo Sebastián (2016)
In this memory we present ve papers which have been published as a result of our researching, part of which has been done ...
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Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms

Fernández Fernández, Luis Manuel; Fuentes Pino, Ana María (Hacettepe University, 2015)
We establish some inequalities of Chen’s type between certain intrinsic invariants (involving sectional, Ricci and scalar ...
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Generalized S-space-forms

Prieto Martín, Alicia; Fernández Fernández, Luis Manuel; Fuentes, Ana M. (2013)
We introduce and study generalized S-space-forms. Moreover, we investigate generalized S-space-forms endowed with an additional structure and we obtain some obstructions for them to be S-manifolds
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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)
We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of ...
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Submanifolds weakly associated with graphs

Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Rodríguez Hidalgo, Antonio (Indian Academy of Sciences, 2009)
We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated ...
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Discrete Morse inequalities on infinite graphs

Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio; Ayala Gómez, Rafael (2009)
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Induced structures on slant submanifolds of metric F-manifolds

Fernández Fernández, Luis Manuel; Hans Uber, María Belén (Indian National Science Academy, 2008)
We study whether it is possible to obtain an induced structure on a slant submanifold of a metric f-manifold. Moreover, ...
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Critical elements of proper discrete Morse functions

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Editorial Board of Mathematica Pannonica, 2008)
The aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact ...
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New relationships involving the mean curvature of slant submanifolds in S-space-forms

Fernández Fernández, Luis Manuel; Hans Uber, María Belén (Korean Mathematical Society, 2007)
Relationships between the Ricci curvature and the squared mean curvature and between the shape operator associated with ...
Tesis Doctoral
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Subvariedades slant en s-variedades

Hans Uber, María Belén; Fernández Fernández, Luis Manuel (2005)
Las subvariedades slant constituyen un tipo importante de subvariedades, tanto en la Geometría Compleja como en la Geometría ...
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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)
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some ...
Ponencia
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Defining discrete Morse functions on infinite surfaces

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel (2004)
We present an algorithm which defines a discrete Morse function in Forman’s sense on an infinite surface including a study of the minimality of this function.
Tesis Doctoral
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Funciones de Morse discretas sobre complejos infinitos

Vilches Alarcón, José Antonio; Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel (2003)
Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ...
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Desigualdades de Morse generalizadas sobre grafos

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Alberto Márquez, 2002)
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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)
We study the relationship between slant submanifolds in both Complex and Contact Geometry through Riemannian submersions. ...
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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)
In this paper, we present the existence and uniqueness theorems for slant immersions into Sasakian-space-forms. By applying ...
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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)
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)
We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of ...
Tesis Doctoral
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Subvariedades Slant en variedades de contacto

Carriazo Rubio, Alfonso; Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Fernández Fernández, Luis Manuel (1998)
Las subvariedades slant constituyen un importante caso intermedio entre las subvariedades invariantes y anti-invariantes. ...
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On ξ-conformally flat contact metric manifolds

Zhen, Guo; Cabrerizo Jaraíz, José Luis; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Indian National Science Academy, 1997)
In this paper, the notion of ξ-conformally flat on a contact metric structure is introduced and it is proved that any ...
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On pseudo-Einstein hypersurfaces of ℋ2n+s

Cabrerizo Jaraíz, José Luis; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Indian National Science Academy, 1996)
In this paper, some properties of the geometry of pseudo-Einstein hypersurfaces of the S-manifold ℋ 2n+s are studied and a theorem concerning their principal curvatures is obtained.
Tesis Doctoral
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Transversalidad en 2-complejos

Villar Liñán, María Trinidad; Fernández Fernández, Luis Manuel; Márquez Pérez, Alberto (1996)
"Si bien el problema de la Transversalidad ha sido ampliamente estudiado en la Teoría de Grafos, los 2-complejos de Euler ...
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On certain anti-invariant submanifolds of an S-manifold

Cabrerizo Jaraíz, José Luis; Fernández Fernández, Luis Manuel (Sociedade Portuguesa de Matemática, 1993)
In this paper, the geometry of certain anti-invariant submanifolds of an S-manifold, namely those which are normal to the structure vector fields, is studied.
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A classification of totally F-umbilical submanifolds of an S-manifold

Cabrerizo Jaraíz, José Luis; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Soochow University, Department of Mathematics, 1992)
In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
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CR-products of S-manifolds

Fernández Fernández, Luis Manuel (Sociedade Portuguesa de Matemática, 1990)
In this paper certain CR-submanifolds namely the CR-products, are studied. A characterization theorem is given and the case of CR-products of S-manifolds whose invariant f-sectional curvature is constant, is investigated.
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On totally geodesic invariant submanifolds of an S-manifold

Fernández Fernández, Luis Manuel (Real Academia de Ciencias de Zaragoza, 1988)
In [1] Blair, O.E.: 1970, J. Diff. Geom. 4, (155-167), S-manifolds, which reduce in a special case to Sasakian manifolds, ...
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A note on F-sectional curvatures of S-manifolds

Fernández Fernández, Luis Manuel (Real Academia de Ciencias de Zaragoza, 1987)
This paper presents sorne characterizations of S-manifolds whose invariant f- sectional curvature is constant. The ...
Tesis Doctoral
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Variedades con K-estructura subvariedades

Fernández Fernández, Luis Manuel; Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel (1987)