Some properties of three dimensional trans-Sasakian manifolds with a semi-symmetric metric connection
- Authors: Pahan A.S.1, Bhattacharyya B.A.1
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Affiliations:
- Department ofMathematics
- Issue: Vol 37, No 2 (2016)
- Pages: 177-184
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197462
- DOI: https://doi.org/10.1134/S1995080216020128
- ID: 197462
Cite item
Abstract
In this paper we have studied ξ-projectively flat 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection. Next, we have shown a skew-symmetric property of projective Ricci-tensor with respect to semi-symmetric metric connection in a 3-dimensional trans-Sasakian manifold. Then we have proved quasi-projectively flat, ϕ-projectively flat 3-dimensional trans-Sasakian manifold with semi-symmetric metric connection. In the last section we have shown an example of a three dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection.
About the authors
A. Sampa Pahan
Department ofMathematics
Author for correspondence.
Email: sampapahan@gmail.com
India, Kolkata, 700032
B. Arindam Bhattacharyya
Department ofMathematics
Email: sampapahan@gmail.com
India, Kolkata, 700032