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Vietnam Journal of Mathematics 38:4 (2010) 485-498

 

On Contact CR-Lightlike Submanifolds of Indefinite Sasakian Manifolds

Rakesh Kumar, Rachna Rani and R.K. Nagaich

Abstract. In present paper we obtain a condition for an invariant lightlike submanifold of indefinite Sasakian space form to be of constant φ-sectional curvature. Then, we study contact CR-lightlike submanifolds of (ε)-Sasakian manifolds extensively and concluded with the study of totally contact umbilical contact CR-lightlike submanifolds.

2000 Mathematics Subject Classification: 53B30, 53C25, 53D15.

Keywords: Contact CR-lightlike submanifolds, indefinite Sasakian manifolds, Totally contact umbilical conta-ct CR-lightlike submanifolds.

 

 

 

 

 

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