• ANTI-INVARIANT SUBMANIFOLDS OF (є) –SASAKIAN MANIFOLD

C. S. BAGEWADI; VENKATESHA. S*

• ANTI-INVARIANT SUBMANIFOLDS OF (є) –SASAKIAN MANIFOLD

C. S. BAGEWADI, VENKATESHA. S*

Abstract

The object of the present paper is to study anti-invariant submanifolds M of (є) - Sasakian manifold. It is shown that if M is totally umbilical then M is totally geodesic. Also results have been obtained connecting totally geodesicty and anti-invariance of M. Also we ﬁnd the necessary and sufﬁcient condition for anti-invariant submanifolds of (є)-Sasakian manifold to be T-invariant and anti-invariant and condition for integrability of the distribution D.

Keywords

Anti-invariant submanifold, (є)-Sasakian manifold, T -invariant, Totally geodesic, Totally umbilical, Integrable condition.

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