Convergence of combinatorial Ricci flows to degenerate circle patterns

Takatsu, Asuka

doi:10.1090/tran/7778

Convergence of combinatorial Ricci flows to degenerate circle patterns
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by Asuka Takatsu PDF

Trans. Amer. Math. Soc. 372 (2019), 7597-7617 Request permission

Abstract:

We investigate the combinatorial Ricci flow on a surface of nonpositive Euler characteristic when the necessary and sufficient condition for the convergence of the combinatorial Ricci flow is not valid. This observation addresses one of the questions raised by B. Chow and F. Luo.

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