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Mostrando ítems 1-10 de 35
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
Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms
(MDPI, 2020-05-29)
We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms.
Artículo
The curvature tensor of (κ,μ,ν)-contact metric manifolds
(Springer, 2015-07)
We study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by Da-homothetic deformations. This prompts the ...
Artículo
Some inequalities on totally real submanifolds in locally conformal Kaehler space forms
(Korean Mathematical Society, 2004)
In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a totally real submanifold in a locally conformal Kaehler ...
Artículo
New examples of generalized Sasakian-space-forms
(Università di Torino, 2015)
In this paper we study when a non-anti-invariant slant submanifold of a generalized Sasakian-space-form inherits such a structure, on the assumption that it is totally geodesic, totally umbilical, totally contact geodesic ...
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
A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces
(Springer, 2018)
We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of (κ, µ)-spaces with Boeckx invariant I ≤ −1. In particular, we prove that such submanifolds must be, up to local isometries, ...
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
The curvature tensor of almost cosymplectic and almost Kenmotsu ( κ, μ, ν ) -space
(Springer, 2013-08)
We study the Riemann curvature tensor of (κ, µ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of ...
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 ...