The Ricci flow with metric torsion on closed surfaces
Differential Geometry
2017-01-10 v2 Analysis of PDEs
Abstract
The famous Uniformization Theorem states that on closed Riemannian surfaces there always exists a metric of constant curvature for the Levi-Cevita connection. In this article we prove that an analogue of the uniformization theorem also holds for connections with metric torsion in the case of non-positive Euler characteristic. Our main tool is an adapted form of the Ricci flow.
Keywords
Cite
@article{arxiv.1606.09121,
title = {The Ricci flow with metric torsion on closed surfaces},
author = {Volker Branding and Klaus Kroencke},
journal= {arXiv preprint arXiv:1606.09121},
year = {2017}
}
Comments
14 pages, published version