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Mostrando ítems 1-10 de 11
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
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
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
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 ...
Tesis Doctoral
Subvariedades en espacios de curvatura Ø-seccional constante generalizados
(2005)
La curvatura de Riemann es una importante herramienta en el estudio de variedades. Así, es de sobra conocida la clasificación de los espacios de curvatura constante en función del valor de dicha curvatura. En Geometría ...
Ponencia
On generalized Sasakian-space-forms
(2004)
We study contact metric and trans-Sasakian generalized Sasakian-space-forms. We also give some interesting examples of generalized Sasakian-space-forms by using warped products and conformal changes of metric.
Artículo
Submanifolds of generalized Sasakian space forms
(Mathematical Society of the Republic of China, 2009-06)
In the present paper submanifolds of generalized Sasakian-spaceforms are studied. We focus on almost semi-invariant submanifolds, these generalize invariant, anti-invariant, and slant submanifolds. Sectional curvatures, ...
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 ...
Artículo
B.-Y. Chen's inequality for submanifolds of generalized space forms
(Indian National Science Academy, 2007-06)
In this article, we investigate sharp inequalities involving δ-invariants for submanifolds in both generalized complex space forms and generalized Sasakian space forms, with arbitrary codimension.
Artículo
The contact Whitney sphere
(Università del Salento, 2001)
In this paper, we introduce the contact Whitney sphere as an imbedding of the n-dimensional unit sphere as an integral submanifold of the standard contact structure on R2n+1. We obtain a general inequality for integral ...