Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2021; 36(4): 771-782

Online first article August 9, 2021      Printed October 31, 2021

https://doi.org/10.4134/CKMS.c200278

Copyright © The Korean Mathematical Society.

On generalized weakly semi-conformally symmetric manifolds

Shyamal Kumar Hui, Akshoy Patra, Ananta Patra

The University of Burdwan; The University of Burdwan; Kandi Raj College

Abstract

In this paper we introduce generalized weakly semi-conform\-ally symmetric manifold, a generalization of weakly symmetric manifold. We study some basic properties and obtain the forms of the scalar curvature of such manifold. In the last section an example is given to ensure the existence of such manifold.

Keywords: Weakly symmetric manifold, generalized weakly symmetric manifold, semi-conformal curvature tensor, generalized weakly conformally symmetric manifold

MSC numbers: Primary 53C15, 53C25

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