On a Semi-symmetric Non-metric Connection in an Indefinite Para Sasakian Manifold

Volume 12, Issue 2, pp 159-172 http://dx.doi.org/10.22436/jmcs.012.02.08

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Authors

S. K. Pandey - Department of Mathematical Sciences, A.P.S. University, Rewa(M.P.),486003, India. G. Pandey - Department of Mathematical Sciences, A.P.S. University, Rewa(M.P.),486003, India. K. Tiwari - Department of Mathematical Sciences, A.P.S. University, Rewa(M.P.),486003, India. R. N. Singh - Department of Mathematical Sciences, A.P.S. University, Rewa(M.P.),486003, India.

Abstract

The object of the present paper is to study a semi-symmetric non-metric connection in an indefinite para Sasakian manifold. In this paper, we obtain the relation between the semi-symmetric non-metric connection and Levi-Civita connection in an indefinite para Sasakian manifold. Also, the Nijenhuis tensor, curvature tensor and projective curvature tensor of semi-symmetric non-metric connection in an indefinite para Sasakian manifold have been studied.

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Keywords

• Indefinite para Sasakian manifold
• semi-symmetric non-metric connection
• Nijenhuis tensor
• projective curvature tensor.

MSC

•  53B15
•  53C50
•  53D15

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