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http://dx.doi.org/10.14403/jcms.2021.34.3.235

ON 3-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO SEMI-SYMMETRIC METRIC CONNECTION

Pahan, Sampa (Department of Mathematics, Mrinalini Datta Mahavidyapith)

Publication Information

Journal of the Chungcheong Mathematical Society / v.34, no.3, 2021 , pp. 235-251 More about this Journal

Abstract

The aim of the present paper is to study 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection. Firstly, we prove that extended generalized M-projective 𝜙-recurrent 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection is an 𝜂-Einstein manifold with respect to Levi-Civita connection under some certain conditions. Later we study some curvature properties of 3-dimensional trans-Sasakian manifold admitting the above connection.

Keywords

Semi-symmetric metric connection; trans-Sasakian manifold; ${\phi}-W_2$ manifold; extended generalized M-projective ${\phi}$ -recurrent manifold; conharmonically curvature tensor;

Citations & Related Records

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