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arXiv · 2607.23584

Infinite Combinatorial Yamabe Flows in Three Dimensions

Bohao Ji
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Abstract

In this paper, we study three-dimensional combinatorial Yamabe flows on locally finite infinite triangulations in Euclidean and hyperbolic background geometries. Under suitable non-degeneracy and bounded-degree assumptions, we establish the short-time existence and uniqueness of the original flows. We further introduce the extended flows by using the continuous extension of solid angles, and prove long-time existence for both extended flows under suitable initial assumptions.

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Bohao Ji. 2026-07-26. Infinite Combinatorial Yamabe Flows in Three Dimensions. https://arxiv.org/abs/2607.23584

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