https://neckpinch.com/authors/nikos-i-kavallaris/New arXiv papers by Nikos I. Kavallaris, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2101.05554/arxiv:2101.05554Thu, 14 Jan 2021 00:00:00 GMTNikos I. Kavallaris, Takashi Suzuki — We study the problem of convergence of the normalized Ricci flow evolving on a compact manifold Ω without boundary. In we derived, via PDE techniques, global-in-time existence of the classical solution and pre-compactness of the orbit. In this work we show its convergence to steady-states, using a gradient inequality of Łojasiewicz type. We have thus an alternative proof of, but for general manifold Ω and not only for unit sphere. As a byproduct of that approach we also derive the rate of convergence according to this steady-sate being either degenerate or non-degenerate as a critical point of a related energy functional.Ricci flowLimit spaces & RCDLong-time existence & convergence