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Plurisubharmonicity and geodesic convexity of energy function on Teichmuller space


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.