Invariant Submanifolds of LP-Sasakian Manifolds

Document Type : Original Article

Authors

Venkatesha Venkatesha

Shanmukha Basavarajappa

Department of Mathematics, Kuvempu University, Shankaraghatta-577451, Karnataka, India.

10.22034/kjm.2019.97091

Abstract

The object of the present paper is to study some geometric conditions for an invariant submanifold of an  LP-Sasakian manifold to be totally geodesic. Further we consider concircular curvature tensor satisfying  some geometric conditions of  an invariant submanifold of an  LP-Sasakian manifold to be totally geodesic. In extension, we build an example of LP-Sasakian manifold to verify our main result totally geodesic.

Keywords

Submanifold

LP-Sasakian manifold

concircular curvature tensor

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