skip to main content
Caltech

Geometry and Topology Seminar

Friday, March 14, 2014
3:00pm to 5:00pm
Add to Cal
Hyperbolic cone metrics on 3-manifolds with boundary
Tian Yang, Mathematics, Stanford University,

In this joint work with Feng Luo, we prove that a hyperbolic cone metric on an ideally triangulated compact 3-manifold with boundary consisting of surfaces of negative Euler characteristic is determined by its combinatorial curvature. The proof uses a convex extension of the Legendre transformation of the volume function. Depending on the time, several related results on maximum volumed semi-angle structures will also be mentioned.

For more information, please contact Yi Ni by email at mathinfo@caltech.edu.