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Listar Geometría y Topología por autor "Fernández Fernández, Luis Manuel"
Mostrando ítems 1-20 de 31
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Artículo
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)In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
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Artículo
A Discrete Representation of the Second Fundamental Form
Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Ramírez de Arellano Marrero, Antonio (MDPI, 2022-06-29)We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed ...
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Artículo
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 ...
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Artículo
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, 2022-04-30)Recently, trans-S-manifolds have been defined as a wide class of metric f-manifolds which includes, for instance, f-Kenmotsu ...
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Artículo
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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Artículo
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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Ponencia
Desigualdades de Morse generalizadas sobre grafos
Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Alberto Márquez, 2002) -
Artículo
Discrete Morse inequalities on infinite graphs
Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio; Ayala Gómez, Rafael (2009) -
Artículo
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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Tesis Doctoral
Funciones de Morse discretas sobre complejos infinitos
Vilches Alarcón, José Antonio (2003)Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ...
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Artículo
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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Artículo
Generalized S-space-forms with two structure vector fields
Carriazo Rubio, Alfonso; Fernández Fernández, Luis Manuel; Fuentes Pino, Ana María (De Gruyter, 2010-01)We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of ...
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Artículo
Induced structures on slant submanifolds of metric F-manifolds
Fernández Fernández, Luis Manuel; Hans Uber, María Belén (Indian National Science Academy, 2008-10)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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Tesis Doctoral
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 (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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Artículo
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 ...
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Artículo
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 ...
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Artículo
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 ...
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Artículo
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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Artículo
On pseudo-Einstein hypersurfaces of ℋ2n+s
Cabrerizo Jaraíz, José Luis; Fernández Fernández, Luis Manuel; Fernández Andrés, Manuel (Indian National Science Academy, 1996-05)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.
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Artículo
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, ...