Geometry and Topology Seminar
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.
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Geometry and Topology Seminar Series
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