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Volume
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Vietnam
Journal of Mathematics 38:4 (2010) 485-498
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On Contact CR-Lightlike Submanifolds of Indefinite
Sasakian Manifolds
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Rakesh Kumar,
Rachna Rani and R.K. Nagaich
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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.
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2000 Mathematics Subject Classification: 53B30, 53C25,
53D15.
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Keywords: Contact CR-lightlike submanifolds, indefinite
Sasakian manifolds, Totally contact umbilical conta-ct CR-lightlike
submanifolds.
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