Return to Colloquia & Seminar listing
Plurisubharmonicity and geodesic convexity of energy function on Teichmuller space
Geometry/Topology| Speaker: | Inkang Kim, KIAS (Seoul, Korea) |
| Location: | 2112 MSB |
| Start time: | Tue, Nov 6 2018, 1:40PM |
We describe the first and second derivatives of energy function from a Riemannian manifold into hyperbolic surface depending on the hyperbolic structure, and show plurisubharmonicity on Teichmuller space. We also show the convexity of geodesic length function along Weil-Petersson geodesics. This is a joint work with Zhang and Wan.