On generalized weakly semi-conformally symmetric manifolds
Commun. Korean Math. Soc. 2021 Vol. 36, No. 4, 771-782
https://doi.org/10.4134/CKMS.c200278
Published online August 9, 2021
Printed October 31, 2021
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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