ON SPECIAL WEAKLY CONHARMONIC SYMMETRIC MANIFOLDS
By
Shyam Kishor and Anoop Kumar Verma
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India-226007 Email: skishormath@gmail.com; anoop.verma1195@gmail.com.
(Received: January 09, 2024; In format: April 01, 2024; Revised: April 29, 2025; Accepted: May 02, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55109
Abstract
The notions of a weakly symmetric and weakly projective symmetric Riemannian manifolds have been introduced by Tamassy and Binh [20, 21] and then after studied by so many authors [5, 12, 13, 14, 15, 16, 17]. Recently, Singh and Khan [19] introduced the notion of Special weakly symmetric Riemannian manifolds and denoted such manifold by (SW S)n. Patra and Hui [11] generalized weakly conharmonic symmetric manifolds Kishor and Verma have investigated the properties of the Ricci tensor R of type (1,1) in special weakly M -projective symmetric manifolds [7]. In this paper, we have studied the nature of Ricci tensor R of type (1,1) in a special weakly conharmonic symmetric Riemannian manifold (SW HS)n and also explored some interesting results on (SW HS)n.
2020 Mathematical Sciences Classification: 58A05, 57P05
Keywords and Phrases: Conharmonic curvature tensor, Ricci tensor, Einstein manifold, Special weakly conharmonic symmetric Riemannian manifold.