Lightlike Submanifolds of Indefinite Cosymplectic Manifolds

Abstract

In this paper we introduce the notion of lightlike submanifolds of an indefinite cosymplectic manifold.We have studied the invariant, contact CR, contact screen Cauchy-Riemann (contact SCR) lightlike submanifolds of an indefinite cosymplectic manifold.We give the condition under which lightlike submanifold of an indefinite cosymplectic manifold is minimal.We have also studied totally contact umbilical lightlike submanifold.Examples of lightlike submanifold of an indefinite cosymplectic manifold have also been given.