https://neckpinch.com/authors/dmytro-yeroshkin/New arXiv papers by Dmytro Yeroshkin, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2108.13281/arxiv:2108.13281Mon, 30 Aug 2021 00:00:00 GMTDmytro Yeroshkin — In this paper we compute the Ricci flow formulas for invariant metrics on prinicpal G-bundles compatible with the connection. Our primary focus is on torus bundles which we use to study a notion of Bakry-Émery Ricci flow as well as Ricci flow on circle bundles over Kähler-Einstein manifolds. The latter application gives us solutions to Ricci flows on Heisenberg groups and implicit solutions to Ricci flows on Berger 3-spheres and several other 3-dimensional manifolds.Ricci flowEinstein metrics3-manifoldsKähler geometryLimit spaces & RCDKähler–Einstein & K-stability