Now showing items 1-6 of 6
The contact Whitney sphere [Article]
(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 ...
Existence and uniqueness theorem for slant immersions in Sasakian-space-forms [Article]
(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 ...
Minimal slant submanifolds of the smallest dimension in S-manifolds [Article]
(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 ...
Riemannian submersions and slant submanifolds [Article]
(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 ...
B.-Y. Chen's inequality for submanifolds of generalized space forms [Article]
(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.
Structure on a slant submanifold of a contact manifold [Article]
(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.