Some results on Invariant Submanifolds in an Indefinite Trans-Sasakian Manifold

Nanditha S Matad

doi:https://doi.org/10.14445/22315373/IJMTT-V41P542

International Journal of Mathematics Trends and Technology

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Volume 41 | Number 5 | Year 2017 | Article Id. IJMTT-V41P542 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P542

Some results on Invariant Submanifolds in an Indefinite Trans-Sasakian Manifold

Nanditha S Matad

Abstract

The purpose of this paper is to study invariant submanifolds in a indefinite trans-Sasakian manifold. Necessary and sufficient conditions are given on an submanifold of a indefinite trans-Sasakian manifold to be invariant and invariant case is considered. In this case further properties and some theorems are given related to an invariant submanifolds in a indefinite trans- Sasakian manifold.

Keywords

Indefinite Trans-Sasakian manifold, Invariant submanifold,Covariant differentiation.

References

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Citation :

Nanditha S Matad, "Some results on Invariant Submanifolds in an Indefinite Trans-Sasakian Manifold," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 5, pp. 322-332, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P542