Rigidity of self-expanders of inverse curvature flows
In this talk, the speaker will investigate a large class of curvature flows by degree -1 homogeneous functions of principal curvatures in Euclidean spaces. This class curvature flows include the well-known inverse mean curvature flow and many others in the current literature. Self-expanding solutions to these curvature flows are solutions that expanding homothetically without changing their shapes. We will talk about uniqueness, rigidity, and constructions of both compact and non-compact self-expanding solutions to these flows. Part of these are joint work with G. Drugan, H. Lee; P. McGrath; and A. Chow, K. Chow.