Submanifolds of a (k,Î¼)-contact manifold

C. S. Bagewadi; M. S. Siddesha

doi:10.4067/S0719-06462016000100005

Authors

C. S. Bagewadi Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.
M. S. Siddesha Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.

DOI:

https://doi.org/10.4067/S0719-06462016000100005

Keywords:

(k, Î¼)-contact manifold, invariant submanifold, anti-invariant submanifold

Abstract

The object of the present paper is to study submanifolds of (k,Î¼)-contact manifolds. We find the necessary and sufficient conditions for a submanifolds of (k,Î¼)-contact manifolds to be invariant and anti-invariant. Also, we examine the integrability of the distributions involved in the definition of CR-submanifolds of (k, Î¼)-contact manifolds.