학술저널
ON 3-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO SEMI-SYMMETRIC METRIC CONNECTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 34, No. 3
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2021.08235 - 251 (17 pages)
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DOI : 10.14403/jcms.2021.34.3.235
- 2
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 phi-recurrent 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection is an eta-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.
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