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): 921-934

Online first article July 8, 2019      Printed July 31, 2019

https://doi.org/10.4134/CKMS.c180316

Copyright © The Korean Mathematical Society.

On a type of generalized symmetric manifolds

Rajesh Kumar

Pachhunga University College

Abstract

The object of the present paper is to study generalized pseu\-do-projectively symmetric manifolds and Einstein generalized pseudo-project\-ively symmetric manifolds. Finally, the existence of generalized pseudo-projectively symmetric manifolds have been proved by two non-trivial examples.

Keywords: almost pseudo symmetric manifold, Einstein manifold, pseudo-projective curvature tensor

MSC numbers: Primary 53C15, 53C25