https://neckpinch.com/authors/amalendu-ghosh/New arXiv papers by Amalendu Ghosh, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1801.04767/arxiv:1801.04767Mon, 15 Jan 2018 00:00:00 GMTAmalendu Ghosh, Dhriti Sundar Patra — The aim of this article is to study the k-almost Ricci soliton and k-almost gradient Ricci soliton on contact metric manifold. First, we prove that if a compact K-contact metric is a k-almost gradient Ricci soliton then it is isometric to a unit sphere S2n+1. Next, we extend this result on a compact k-almost Ricci soliton when the flow vector field X is contact. Finally, we study some special types of k-almost Ricci soliton where the potential vector field X is point wise collinear with the Reeb vector field ξ of the contact metric structure.Ricci solitonsAlmost & η-Ricci solitonsSasakian & contact geometry