Ricci de Turck flow on incomplete manifolds

Autor:	Marxen, Tobias, Vertman, Boris
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs 53C44 58J35 35K08
Druh dokumentu:	Working Paper
Popis:	In this paper we construct a Ricci de Turck flow on any incomplete Riemannian manifold with bounded curvature. The central property of the flow is that it stays uniformly equivalent to the initial incomplete Riemannian metric, and in that sense preserves any given initial singularity structure. Together with the corresponding result by Shi for complete manifolds, this gives that any (complete or incomplete) manifold of bounded curvature can be evolved by the Ricci de Turck flow for a short time. Comment: 42 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.10314 Zobrazit plný text záznamu View this record from Arxiv