Abstract
We prove that for a compact –manifold with boundary admitting an ideal triangulation with valence at least 10 at all edges, there exists a unique complete hyperbolic metric with totally geodesic boundary, so that is isotopic to a geometric decomposition of . Our approach is to use a variant of the combinatorial Ricci flow introduced by Luo (Electron. Res. Announc. Amer. Math. Soc. 11 (2005) 12–20) for pseudo-–manifolds. In this case, we prove that the extended Ricci flow converges to the hyperbolic metric exponentially fast.
Citation
Ke Feng. Huabin Ge. Bobo Hua. "Combinatorial Ricci flows and the hyperbolization of a class of compact –manifolds." Geom. Topol. 26 (3) 1349 - 1384, 2022. https://doi.org/10.2140/gt.2022.26.1349
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