Perfil del autor: Fernández Fernández, Luis Manuel
Datos institucionales
Nombre | Fernández Fernández, Luis Manuel |
Departamento | Geometría y Topología |
Área de conocimiento | Geometría y Topología |
Categoría profesional | Profesor Titular de Universidad |
Correo electrónico | Solicitar |
Estadísticas
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Nº publicaciones
39
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Nº visitas
6386
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Nº descargas
45149
Publicaciones |
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Artículo
A Discrete Representation of the Second Fundamental Form
(MDPI, 2022)
We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed ... |
Artículo
Can trans-S-manifolds be defined from the Gray-Hervella classification for almost Hermitian manifolds?
(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
Aspectos Discretos de la Segunda Forma Fundamental de Subvariedades
(2021)
En este trabajo estudiamos un tema que conecta elementos de dos áreas de las Matemáticas a priori separadas: estructuras ... |
Artículo
Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition
(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
El espacio de Minkowski. la relatividad especial
(2020)
En 1905, Einstein publicó la teoría de la Relatividad Especial, que describía satisfactoriamente el movimiento de partículas ... |
Trabajo Fin de Grado
Invariantes de superficies regladas no desarrollables
(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
Cálculo de áreas encerradas por cicloides y trocoides usando el Teorema de Mamikon. Aplicaciones
(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
Las trans-S-variedades y la clasificación de Gray-Hervella.
(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
Curvas rectificantes
(2017)
Rectifying curves are curves whose position vector always lies in their rectifying plane. In this dissertation, we present ... |
Trabajo Fin de Grado
La cicloide
(2017)
La definición más sencilla que podemos hacer de la cicloide es la de una curva plana descrita como la trayectoria de un ... |
Artículo
The L-sectional curvature of S-manifolds
(Düzce Üniversitesi, 2016)
We investigate L-sectional curvature of S-manifolds with respect to the Riemannian connection and to certain semi-symmetric ... |
Tesis Doctoral
Lagrangian submanifolds in complex space forms, the Maslov form in S-manifolds, generalized S-space forms and n-Einstein para-S manifolds
(2016)
In this memory we present ve papers which have been published as a result of our researching, part of which has been done ... |
Artículo
Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms
(Hacettepe University, 2015)
We establish some inequalities of Chen’s type between certain intrinsic invariants (involving sectional, Ricci and scalar ... |
Artículo
Generalized S-space-forms
(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 |
Artículo
Generalized S-space-forms with two structure vector fields
(De Gruyter, 2010)
We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of ... |
Artículo
Submanifolds weakly associated with graphs
(Indian Academy of Sciences, 2009)
We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated ... |
Artículo |
Artículo
Induced structures on slant submanifolds of metric F-manifolds
(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, ... |
Artículo
Critical elements of proper discrete Morse functions
(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 ... |
Artículo
New relationships involving the mean curvature of slant submanifolds in S-space-forms
(Korean Mathematical Society, 2007)
Relationships between the Ricci curvature and the squared mean curvature and between the shape operator associated with ... |
Tesis Doctoral
Subvariedades slant en s-variedades
(2005)
Las subvariedades slant constituyen un tipo importante de subvariedades, tanto en la Geometría Compleja como en la Geometría ... |
Artículo
Minimal slant submanifolds of the smallest dimension in S-manifolds
(European Mathematical Society, 2005)
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some ... |
Ponencia
Defining discrete Morse functions on infinite surfaces
(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
Funciones de Morse discretas sobre complejos infinitos
(2003)
Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ... |
Ponencia
Desigualdades de Morse generalizadas sobre grafos
(Alberto Márquez, 2002)
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Artículo
Riemannian submersions and slant submanifolds
(Institute of Mathematics (University of Debrecen), 2002)
We study the relationship between slant submanifolds in both Complex and Contact Geometry through Riemannian submersions. ... |
Artículo
Existence and uniqueness theorem for slant immersions in Sasakian-space-forms
(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 ... |
Artículo
Structure on a slant submanifold of a contact manifold
(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. |
Artículo
Semi-slant submanifolds of a Sasakian manifold
(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
Subvariedades Slant en variedades de contacto
(1998)
Las subvariedades slant constituyen un importante caso intermedio entre las subvariedades invariantes y anti-invariantes. ... |
Artículo
On ξ-conformally flat contact metric manifolds
(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 ... |
Artículo
On pseudo-Einstein hypersurfaces of ℋ2n+s
(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
Transversalidad en 2-complejos
(1996)
"Si bien el problema de la Transversalidad ha sido ampliamente estudiado en la Teoría de Grafos, los 2-complejos de Euler ... |
Artículo
On certain anti-invariant submanifolds of an S-manifold
(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. |
Artículo
A classification of totally F-umbilical submanifolds of an S-manifold
(Soochow University, Department of Mathematics, 1992)
In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained. |
Artículo
CR-products of S-manifolds
(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. |
Artículo
On totally geodesic invariant submanifolds of an S-manifold
(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, ... |
Artículo
A note on F-sectional curvatures of S-manifolds
(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 |