Geometry of Contact CR-Warped Product Submanifolds on Nearly Cosymplectic Manifolds

Abstract

In this paper, we study contact CR-warped products submanifolds on nearly cosymplectic manifolds. We work out the characterizations in terms of tensor fields under which a contact CR-submanifold of a nearly cosymplectic manifold reduces to a warped product submanifold. In the beginning, we obtain some theorems and lemmas and then develop the general sharp inequalities for squared norm of the second fundamental form on nearly cosymplectic manifolds.

Key words and phrases. Inequalities, mean curvature, submanifolds, warped product, nearly cosymplectic manifolds, mixed totally geodesic.

2020 Mathematics Subject Classification. 53C40, 53C42, 53C15