INDEFINITE TRANS-SASAKIAN MANIFOLD

Nanditha S Matad

Abstract


In this paper, invariant submanifolds in an indefinite trans-Sasakian manifold are studied. Necessary and sufficient conditions are given on submanifold of an indefinite trans-Sasakian manifold to be invariant submanifold.Here we shown the equivalence of total geodesicity for an invariant submanifold of an indefinite trans-Sasakian manifold.

AMS Subject Classification: 53C15,53C17, 53C20, 53C25.

 

Keywords: Indefinite trans-Sasakian manifold, Invariant submanifold, Covariant differentiation, Bianchi identity,totally geodesic,


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