Some classes of 3-dimensional Trans-Sasakian manifolds with respect to semi-symmetric metric connection

  • Sampa Pahan University of Kalyani
DOI: https://doi.org/10.5269/bspm.42855

Abstract

The object of the present paper is to study semi-symmetric metric connection on a 3-dimensional trans-Sasakian manifold. We found the necessary condition under which a vector field on a 3-dimensional trans-Sasakian manifold will be a strict contact vector field. Then, we obtained extended generalized phi-recurrent 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection. Next, a 3-dimensional trans-Sasakian manifold satises the condition ~L.~ S = 0 with respect to semi-symmetric metric connection is studied.

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Published
2021-12-16
Issue
Vol 40 (2022)
Section
Research Articles

Copyright (c) 2021 Boletim da Sociedade Paranaense de Matemática

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