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Commun. Korean Math. Soc. 2014; 29(2): 331-343
Printed April 1, 2014
https://doi.org/10.4134/CKMS.2014.29.2.331
Copyright © The Korean Mathematical Society.
On a semi-symmetric metric connection in an $(\varepsilon)$-Kenmotsu manifold
Ram Nawal Singh, Shravan Kumar Pandey, Giteshwari Pandey, and Kiran Tiwari
A.P.S. University, A.P.S. University, A.P.S. University, A.P.S. University
The object of the present paper is to study a semi-symmetric metric connection in an ($\varepsilon$)-Kenmotsu manifold. In this paper, we study a semi-symmetric metric connection in an ($\varepsilon$)-Kenmotsu manifold whose projective curvature tensor satisfies certain curvature conditions.
Keywords: ($\varepsilon$)-Kenmotsu manifold, semi-symmetric metric connection, quasi-projectively flat ($\varepsilon$)-Kenmotsu manifold, $\phi$-projectively flat ($\varepsilon$)-Kenmotsu manifold, space like, time like
MSC numbers: 53C15, 53C25
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