Listar Artículos (Geometría y Topología) por autor "Fernández Fernández, Luis Manuel"
Mostrando ítems 1-20 de 24
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A classification of totally F-umbilical submanifolds of an S-manifold
(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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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 ...
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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 ...
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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 ...
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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.
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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 ...
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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 ...
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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
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Generalized S-space-forms with two structure vector fields
(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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Induced structures on slant submanifolds of metric F-manifolds
(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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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 ...
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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 ...
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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 ...
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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.
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On pseudo-Einstein hypersurfaces of ℋ2n+s
(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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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, ...
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On ξ-conformally flat contact metric manifolds
(Indian National Science Academy, 1997-06)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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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. ...
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Semi-slant submanifolds of a Sasakian manifold
(Springer, 1999-11)We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of ...