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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 the first result, we prove several existence theorems for slant submanifolds. In particular, we ...
Artículo
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 in a Riemannian manifold based on the second fundamental form. We also present several results ...
Artículo
Structure on a slant submanifold of a contact manifold
(Indian National Science Academy, 2000-07)
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, 1999-11)
We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of a Sasakian manifold. We prove a characterization theorem for semi-slant submanifolds and we obtain ...
Artículo
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 (κ,μ) nullity condition with n>1 is independent of the f-section at the point, then it is constant ...
Artículo
Submanifolds weakly associated with graphs
(Indian Academy of Sciences, 2009-06)
We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated with graphs. We prove that, in a local sense, every submanifold satisfies such an association, and ...
Artículo
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 these manifolds such as certain hypersurfaces of Sasakianspace-forms, principal toroidal bundles and ...
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. We present some construction procedures to obtain slant submanifolds in the unit sphere and in a ...
Tesis Doctoral
Subvariedades Slant en variedades de contacto
(1998-05-19)
Las subvariedades slant constituyen un importante caso intermedio entre las subvariedades invariantes y anti-invariantes. De hecho, diremos que una subvariedad M, tangente al campo de estructura Ԑ de una variedad casi-contacto ...
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 relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved ...