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Mostrando ítems 1-10 de 24
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 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 antiinvariant f-sectional curvature, the axiom of invariant f-planes and the axiom of antiinvariant f-planes ...
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
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
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
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.
Artículo
The L-sectional curvature of S-manifolds
(Düzce Üniversitesi, 2016-04)
We investigate L-sectional curvature of S-manifolds with respect to the Riemannian connection and to certain semi-symmetric metric and nonmetric connections naturally related with the structure, obtaining conditions for ...
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 ...