Abstract
In this paper, we study CR submanifolds of an S manifold endowed with a semi-symmetric non-metric connection. We give an example,investigating integrabilities of horizontal and vertical distributions of CR submanifolds endowed with a semi-symmetric non-metric connection. We alsoconsider parallel horizontal distributions of CR submanifolds
Highlights
In 1963, Yano [23] introduced the notion of f -structure on a C1 m-dimensional manifold M, as a non-vanishing tensor ...eld f of type (1; 1) on M which satis...es f 3 + f = 0 and has constant rank r
We study CR submanifolds of an S manifold endowed with a semi-symmetric non-metric connection
We give an example, investigating integrabilities of horizontal and vertical distributions of CR sub manifolds endowed with a semi-symmetric non-metric connection
Summary
In [1] Agashe and Cha‡e de...ned a semi-symmetric nonmetric connection on a Riemannian manifold and studied some of its properties. The concept of semi-symmetric non-metric connection has been developed by (see, for instance, [3], [21]) and others. In this paper we study CR submanifolds of an S manifold endowed with a semi-symmetric non-metric connection. We consider integrabilities of horizontal and vertical distributions of CR submanifolds with a semi-symmetric non-metric connection. An (2m+s) dimensional Riemannian submanifold M of S manifold Mf is called a CR submanifold if 1; 2; ::: ; s is tangent to M and there exists on M two di¤ erentiable distributions D and D? In what follows, (R2n+s; f; ; ; g) will denote the manifold R2n+s with its usual S-structure given by
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