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# Mu-Tao Wang : A variational problem for isometric embeddings and its applications in general relativity

I shall discuss a variational problem arising from the study of quasilocal energy in general relativity. Given a spacelike 2-surface in spacetime, the Euler-Lagrange equation for the quasilocal energy is the isometric embedding equation into the Minkowski space coupled with a fourth order nonlinear elliptic equation for the time function. This equation is important in that it gives the ground configuration in GR. In joint work with PoNing Chen and Shing-Tung Yau, we solved this system in the cases of large and small sphere limits.

**Category**: Geometry and Topology**Duration**: 01:01:33**Date**: April 29, 2012 at 9:30 AM**Views**: 125-
**Tags:**seminar, Geometry Festival Seminar

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