Data

NameFernández Fernández, Luis Manuel
DepartmentGeometría y Topología
Knowledge areaGeometría y Topología
Professional categoryProfesor Titular de Universidad
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  Statistics

  • Items

    37

  • Visits

    4383

  • Downloads

    29058

  Publications

 

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 ...
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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 ...
Final Degree Project
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El espacio de Minkowski. la relatividad especial

Fernández Fernández, Luis Manuel; González Galindo, Silvia (2020-06-01)
En 1905, Einstein publicó la teoría de la Relatividad Especial, que describía satisfactoriamente el movimiento de partículas ...
Final Degree Project
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Cálculo de áreas encerradas por cicloides y trocoides usando el Teorema de Mamikon. Aplicaciones

Fernández Fernández, Luis Manuel; Bermudo Martos, Ana María (2018-06-01)
A point on the boundary of a circular disk that rolls once along a straight line traces a cycloid. The cycloid divides its ...
Final Degree Project
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Invariantes de superficies regladas no desarrollables

Fernández Fernández, Luis Manuel; Terrón Mejías, Gema (2018-06-01)
In this work, we are going to carry out an analysis of the most studied families in surface geometry, ruled surfaces, that ...
Master's Final Project
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Las trans-S-variedades y la clasificación de Gray-Hervella.

Fernández Fernández, Luis Manuel; Soriano Trigueros, Manuel (2017-06-01)
Recently, trans-S manifolds have been defined as a natural generalization of f-Kenmotsu, S-manifolds and C-manifolds. This ...
Final Degree Project
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Curvas rectificantes

Fernández Fernández, Luis Manuel; Jácome Maura, Francisco (2017-06-01)
Rectifying curves are curves whose position vector always lies in their rectifying plane. In this dissertation, we present ...
Final Degree Project
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La cicloide

Fernández Fernández, Luis Manuel; Corcho Gutiérrez, Fernando Manuel (2017-06-01)
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, 2016-04-01)
We investigate L-sectional curvature of S-manifolds with respect to the Riemannian connection and to certain semi-symmetric ...
PhD Thesis
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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

Fernández Fernández, Luis Manuel; Alegre Rueda, Pablo Sebastián; Prieto Martín, Alicia (2016-02-11)
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, 2015-01-01)
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. (2013-01-01)
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, 2010-01-01)
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, 2009-06-01)
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 (2009-01-01)
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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, 2008-10-01)
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, 2008-01-01)
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, 2007-01-01)
Relationships between the Ricci curvature and the squared mean curvature and between the shape operator associated with ...
PhD Thesis
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Subvariedades slant en s-variedades

Fernández Fernández, Luis Manuel; Hans Uber, María Belén (2005-07-15)
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, 2005-01-01)
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some ...
Presentation
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Defining discrete Morse functions on infinite surfaces

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel (2004-01-01)
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.
PhD Thesis
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Funciones de Morse discretas sobre complejos infinitos

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (2003-01-01)
Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ...
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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. ...
Presentation
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Desigualdades de Morse generalizadas sobre grafos

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Alberto Márquez, 2002-01-01)
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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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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 ...
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. ...
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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, 1997-06-01)
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, 1996-05-01)
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.
PhD Thesis
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Transversalidad en 2-complejos

Fernández Fernández, Luis Manuel; Márquez Pérez, Alberto; Villar Liñán, María Trinidad (1996-01-01)
"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, 1993-01-01)
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, 1992-04-01)
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, 1990-01-01)
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, 1988-01-01)
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, 1987-01-01)
This paper presents sorne characterizations of S-manifolds whose invariant f- sectional curvature is constant. The ...
PhD Thesis
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Variedades con K-estructura subvariedades

Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Fernández Fernández, Luis Manuel (1987-01-01)