Limiting behavior of inverse mean curvature flows in the hyperbolic space


Pei-Ken Hung

11:00:00 - 12:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

We will discuss the limit of inverse mean curvature flow (IMCF) in the hyperbolic space. The phenomenon is different from one in the Euclidean space. In the Euclidean space, Gerhardt proved IMCF will converge to the round metric. In contrast, Neves constructed examples in anti-de Sitter- Schwarzschild space whose limit is not round. We will talk about Neves’ construction and give similar examples in the hyperbolic space. This is a joint work with Professor Mu-Tao Wang.