Author profile: Fernández Fernández, Luis Manuel
Institutional data
Name | Fernández Fernández, Luis Manuel |
Department | Geometría y Topología |
Knowledge area | Geometría y Topología |
Professional category | Profesor Titular de Universidad |
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Statistics
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No. publications
39
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5647
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38364
Publications |
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Article
![]() A Discrete Representation of the Second Fundamental Form
(MDPI, 2022-06-29)
We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed ... |
Article
![]() Can trans-S-manifolds be defined from the Gray-Hervella classification for almost Hermitian manifolds?
(Springer, 2022-04-30)
Recently, trans-S-manifolds have been defined as a wide class of metric f-manifolds which includes, for instance, f-Kenmotsu ... |
Master's Final Project
![]() Aspectos Discretos de la Segunda Forma Fundamental de Subvariedades
(2021-06-01)
En este trabajo estudiamos un tema que conecta elementos de dos áreas de las Matemáticas a priori separadas: estructuras ... |
Article
![]() Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition
(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
![]() El espacio de Minkowski. la relatividad especial
(2020-06-01)
En 1905, Einstein publicó la teoría de la Relatividad Especial, que describía satisfactoriamente el movimiento de partículas ... |
Final Degree Project
![]() Cálculo de áreas encerradas por cicloides y trocoides usando el Teorema de Mamikon. Aplicaciones
(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
![]() Invariantes de superficies regladas no desarrollables
(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
![]() Las trans-S-variedades y la clasificación de Gray-Hervella.
(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
![]() Curvas rectificantes
(2017-06-01)
Rectifying curves are curves whose position vector always lies in their rectifying plane. In this dissertation, we present ... |
Final Degree Project
![]() La cicloide
(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 ... |
Article
![]() The L-sectional curvature of S-manifolds
(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
![]() Lagrangian submanifolds in complex space forms, the Maslov form in S-manifolds, generalized S-space forms and n-Einstein para-S manifolds
(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 ... |
Article
![]() Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms
(Hacettepe University, 2015-01-01)
We establish some inequalities of Chen’s type between certain intrinsic invariants (involving sectional, Ricci and scalar ... |
Article
![]() Generalized S-space-forms
(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 |
Article
![]() Generalized S-space-forms with two structure vector fields
(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
![]() Submanifolds weakly associated with graphs
(Indian Academy of Sciences, 2009-06-01)
We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated ... |
Article
![]() Discrete Morse inequalities on infinite graphs
(2009-01-01)
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Article
![]() Induced structures on slant submanifolds of metric F-manifolds
(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, ... |
Article
![]() Critical elements of proper discrete Morse functions
(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 ... |
Article
![]() New relationships involving the mean curvature of slant submanifolds in S-space-forms
(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
![]() Subvariedades slant en s-variedades
(2005-07-15)
Las subvariedades slant constituyen un tipo importante de subvariedades, tanto en la Geometría Compleja como en la Geometría ... |
Article
![]() Minimal slant submanifolds of the smallest dimension in S-manifolds
(European Mathematical Society, 2005-01-01)
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some ... |
Presentation
![]() Defining discrete Morse functions on infinite surfaces
(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
![]() Funciones de Morse discretas sobre complejos infinitos
(2003-01-01)
Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ... |
Article
![]() Riemannian submersions and slant submanifolds
(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
![]() Desigualdades de Morse generalizadas sobre grafos
(Alberto Márquez, 2002-01-01)
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Article
![]() Existence and uniqueness theorem for slant immersions in Sasakian-space-forms
(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 ... |
Article
![]() Structure on a slant submanifold of a contact manifold
(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. |
Article
![]() Semi-slant submanifolds of a Sasakian manifold
(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
![]() Subvariedades Slant en variedades de contacto
(1998-05-19)
Las subvariedades slant constituyen un importante caso intermedio entre las subvariedades invariantes y anti-invariantes. ... |
Article
![]() On ξ-conformally flat contact metric manifolds
(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 ... |
Article
![]() On pseudo-Einstein hypersurfaces of ℋ2n+s
(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
![]() Transversalidad en 2-complejos
(1996-01-01)
"Si bien el problema de la Transversalidad ha sido ampliamente estudiado en la Teoría de Grafos, los 2-complejos de Euler ... |
Article
![]() On certain anti-invariant submanifolds of an S-manifold
(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. |
Article
![]() A classification of totally F-umbilical submanifolds of an S-manifold
(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. |
Article
![]() CR-products of S-manifolds
(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. |
Article
![]() On totally geodesic invariant submanifolds of an S-manifold
(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, ... |
PhD Thesis
![]() Variedades con K-estructura subvariedades
(1987-01-01)
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Article
![]() A note on F-sectional curvatures of S-manifolds
(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 ... |