Talk 7793 data/Spring

Geometry Festival Seminar
Sunday, April 29, 2012, 9:30am, 128 Physics
Mu-Tao Wang (Columbia University)
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. [video]

Generated at 4:10am Friday, April 19, 2024 by Mcal. Top * Reload * Login