https://neckpinch.com/authors/anton-khaliapin/New arXiv papers by Anton Khaliapin, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2608.20503/arxiv:2608.20503Thu, 20 Aug 2026 00:00:00 GMTAnton Khaliapin — We study Ricci solitons on the Riemannian manifold ℍ²×ℝ equipped with the standard metric. A complete classification of soliton vector fields is obtained: they form a four-dimensional affine space, namely a translate of the Killing algebra isom(ℍ²×ℝ). All corresponding solitons are expanding. In addition, gradient solitons are fully characterized and shown to form a one-parameter subfamily of the complete family of soliton fields. As a byproduct, every soliton vector field turns out to be affine, preserving the Levi-Civita connection, the curvature tensor, and the Ricci tensor.Ricci solitons4-manifolds