On semi-invariant submanifolds of a nearly trans-hyperbolic Sasakian manifold

Shamsur Rahmana,* and Arjumand Ahmad b

On semi-invariant submanifolds of a nearly trans-hyperbolic Sasakian manifold

Authors :

Shamsur Rahman^a,* and Arjumand Ahmad^b

Author Address :

^a,bDepartment of Mathematics, Maulana Azad National Urdu University & Polytechnic Darbhanga (Centre),Bihar 846001, India.

*Corresponding author.

Abstract :

Semi-invariant submanifold of a trans Sasakian manifold has been studies. In the present paper we study semi invariant submanifolds of a nearly trans hyperbolic Sasakian manifold. Nejenhuis tensor in a nearly trans hyperbolic Sasakian manifold is calculated. Integrability conditions for some distributions on a semi invariant submanifold of a nearly trans hyperbolic Sasakian manifold are investigated.

Keywords :

Semi-invariant submanifolds, nearly trans hyperbolic Sasakian manifold, Gauss and Weingarten equations, integrability conditions, distributions.

DOI :

Article Info :

Received : October 10, 2014; Accepted : May 23, 2015.