https://neckpinch.com/authors/rohollah-bakhshandeh-chamazkoti/New arXiv papers by Rohollah Bakhshandeh-Chamazkoti, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2108.11380/arxiv:2108.11380Wed, 25 Aug 2021 00:00:00 GMTRohollah Bakhshandeh-Chamazkoti — The goal of this paper is to investigate which one of thenon-isometric left invariant Lorentz metrics on 4-dimensional nilpotent Lie groups H₃ × Bbb R and G₄ satisfy in Ricci Soliton equation. Among the left-invariant Lorentzian metrics on H₃ × Bbb R, g_λ⁺ is a shrinking while g_λ⁺ and g_μ are expanding and also g₀¹, g₀², g₀³ have Ricci solitons. We exhibit among the non-isometric left invariant Lorentz metric on the group G₄ only g₁^λ, g₂^λ have Lorentz Ricci solitons and g₂^λ is a shrinking.Ricci solitons4-manifoldsHomogeneous spacesPhysics