Rigidity of hyperbolic polyhedral 3-manifolds
报告题目(Title)：Rigidity of hyperbolic polyhedral 3-manifolds
报告人(Speaker)：葛化彬（中国人民大学）
地点(Place)：后主楼1124
时间(Time)：2024年1月5日 15:00-16:00
邀请人(Inviter)：程志云
报告摘要
We show the rigidity of hyperbolic polyhedral metrics on 3-manifolds. By definition, such manifolds are isometric gluing of decorated hyperbolic tetrahedra. Here a decorated hyperbolic tetrahedron is a hyperbolic tetrahedron with only ideal or hyper-ideal vertices, and furthermore, with a horosphere called decoration centered at each ideal vertex. We show that the above hyperbolic polyhedral metric is determined up to isometry and change of decorations by its curvature. This work generalized Luo-Yang's rigidity results [2018, J. Topol.] to the most general situation. This is joint work with Ke Feng and Chunlei Liu.
