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 Downloads: Full-text PDF   Full-text HTML