Combinatorial Ricci flows and the hyperbolization of a class of compact 3-manifolds

Date: 2021-03-31 17:34:59
Time: 16:00-17:00
Venue: Yuquan Campus
Speaker: GE Huabin
Category: Talk & Lecture

Speaker: Prof. GE Huabin, Renmin University of China

Venue: Room 200-9, Sir Run Run Shaw Business Administrative Building, Yuquan Campus


Using combinatorial Ricci flow methods, we shall prove the following theorem: Let M be a compact 3-manifold with boundary consisting of surfaces of genus at least 2. If M admits an ideal triangulation with valence at least 10 at all edges, then there exists a unique hyperbolic metric on M with totally geodesic boundary under which the ideal triangulation is geometric. This is based on joint work with Ke Feng and Bobo Hua.