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arXiv · 1606.09121

The Ricci flow with metric torsion on closed surfaces

Volker Branding·Klaus Kroencke
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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.

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Volker Branding, Klaus Kroencke. 2016-06-29. The Ricci flow with metric torsion on closed surfaces. https://doi.org/10.1007/s12220-016-9753-4

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