Abstract
We consider a quarter-symmetric metric connection in a Kenmotsu manifold. We investigate the curvature tensor and the Ricci tensor of a Kenmotsu manifold with respect to the quarter-symmetric metric connection. We show that the scalar curvature of an -dimensional locally symmetric Kenmotsu manifold with respect to the quarter-symmetric metric connection is equal to . Furthermore, we obtain the non-existence of generalized recurrent, -recurrent and pseudosymmetric Kenmotsu manifolds with respect to quarter-symmetric metric connection.
Acknowledgements
We are grateful to the referee and Chief Editor Professor Mutsuo Oka for careful reading of this paper and a number of helpful suggestions for improvement in the article.
Citation
Sibel Sular. Cihan Özgür. Uday Chand De. "Quarter-symmetric metric connection in a Kenmotsu manifold." SUT J. Math. 44 (2) 297 - 306, June 2008. https://doi.org/10.55937/sut/1234383520
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