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.
Shyamal Kumar Hui, Akshoy Patra, Ananta Patra
The University of Burdwan; The University of Burdwan; Kandi Raj College
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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