Abstract
The object of the present paper is to study -Ricci symmetric -contact metric manifolds and -Ricci symmetric -contact metric manifolds of dimension three. It is proved that a -Ricci symmetric -contact metric manifold is Sasakian. Next we prove that a three dimensional -contact metric manifold is locally -Ricci symmetric if and only if the scalar curvature is constant. Finally we give examples of -Ricci symmetric -contact metric manifolds.
Acknowledgement
The authors are thankful to the referee for his/her valuable suggestions in the improvement of the paper.
Citation
Sudipta Biswas. Avik De. "On -Ricci symmetric -contact metric manifolds." SUT J. Math. 45 (2) 167 - 176, June 2009. https://doi.org/10.55937/sut/1266409166
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