Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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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.

Some results on projective curvature tensor in Sasakian manifolds

Umesh Kumar Gautam, Abdul Haseeb, Rajendra Prasad

University of Lucknow; Jazan University; University of Lucknow

Abstract

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