INDEFINITE TRANS-SASAKIAN MANIFOLD
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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.
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Keywords: Indefinite trans-Sasakian manifold, Invariant submanifold, Covariant differentiation, Bianchi identity,totally geodesic,
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How to Cite
Matad, N. S. (2017). INDEFINITE TRANS-SASAKIAN MANIFOLD. Journal of Global Research in Mathematical Archives(JGRMA), 4(12), 50–53. Retrieved from https://jgrma.com/index.php/jgrma/article/view/386
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Research Paper