https://neckpinch.com/authors/paritosh-ghosh/New arXiv papers by Paritosh Ghosh, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2305.06597/arxiv:2305.06597Thu, 11 May 2023 00:00:00 GMTParitosh Ghosh, Hemangi Madhusudan Shah, Arindam Bhattacharyya — In this research, we study the nature of η-Einstein and gradient η-Einstein soliton in the framework of almost coKähler manifolds and (κ, μ)-almost coKähler manifolds. We find some expressions for scalar curvature of the almost coKähler manifold admitting η-Einstein soliton in various cases. We also prove that if a (κ, μ)-almost coKähler manifold admits a gradient η-Einstein soliton, then either the manifold is coKähler, or N(κ)-almost coKahler, or the soliton is trivial. We present an example which validates our results. Finally, we investigate the asymptotically harmonic manifolds admitting non-trivial Ricci solitons and show that they exhibit rigid behavior if for example, scalar curvature attains maximum.Ricci solitonsAlmost & η-Ricci solitonsKähler geometryScalar curvature