Commun. Korean Math. Soc. 2019; 34(3): 881-896
Online first article July 8, 2019 Printed July 31, 2019
https://doi.org/10.4134/CKMS.c180235
Copyright © The Korean Mathematical Society.
Umesh Kumar Gautam, Abdul Haseeb, Rajendra Prasad
University of Lucknow; Jazan University; University of Lucknow
In the present paper, we study certain curvature conditions satisfying by the projective curvature tensor in Sasakian manifolds with respect to the generalized-Tanaka-Webster connection. Finally, we give an example of a 3-dimensional Sasakian manifold with respect to the generalized-Tanaka-Webster connection.
Keywords: Sasakian manifolds, projective curvature tensor, $g$-Tanaka-Webster connection, $\eta$-Einstein manifold
MSC numbers: Primary 53C05, 53D15, 53C25
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