2011•Advances in Pure MathematicsOpen access

Geodesic Lightlike Submanifolds of Indefinite Sasakian Manifolds

Junhong Dong, Ximin Liu

Abstract

In this paper, we study geodesic contact CR-lightlike submanifolds and geodesic screen CR-lightlike (SCR) submanifolds of indefinite Sasakian manifolds. Some necessary and sufficient conditions for totally geodesic, mixed geodesic, -geodesic and -geodesic contact CR-lightlike submanifolds and SCR submanifolds are obtained.

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Key concepts: Totally geodesic, Geodesic, Mathematics, Geodesic map, Pure mathematics, Mathematical analysis