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Turkish Journal of Mathematics

Abstract

We study both radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds. We give examples, investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these submanifolds to be metric connection. We also study totally contact umbilical radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds and obtain a classification theorem for totally contact umbilical transversal lightlike submanifolds.

DOI

10.3906/mat-0904-10

Keywords

Indefinite Sasakian Manifold, Lightlike Submanifold, Radical Transversal Lightlike Submanifold, Transversal Lightlike Submanifold

First Page

561

Last Page

584

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