On generalized weakly semi-conformally symmetric manifolds
Commun. Korean Math. Soc.
Published online August 9, 2021
SHYAMAL KUMAR HUI, Akshoy Patra, and Ananta Patra
THE UNIVERSITY OF BURDWAN; University of Burdwan; Kandi Raj College
Abstract : In this paper we introduce generalized weakly semi-conformally 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 : 53C15, 53C25
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