https://neckpinch.com/authors/arseny-mingajev/New arXiv papers by Arseny Mingajev, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2608.02840/arxiv:2608.02840Mon, 03 Aug 2026 00:00:00 GMTEric Cochran, Arseny Mingajev, Lawrence Mouillé, Nazia Valiyakath — We study normalized Ricci flow on simply connected homogeneous spaces G/H for which the isotropy representation splits into exactly two equivalent irreducible subrepresentations. We prove that every G-invariant metric evolves to one with positive Ricci curvature, and that the family of G-invariant metrics with positive Ricci curvature is forward-invariant under the flow. The proof relies on the fact that the phase portrait of the family of fixed-volume G-invariant metrics can be explicitly visualized.Ricci flowHomogeneous spacesNumerics & visualization