Speaker : Dr. Daehwan Kim (Korea Institute for Advances Study)
Title : Homothetic and translating solitons for the inverse mean curvature flow
Time : 2019-10-08 (Tue) 10:30 - 11:30
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: Inverse mean curvature flow have been studied not only as a geometric flow but also for applications to prove various geometric inequalities. Analyzing solitons of a geometric flow is a natural way to observe the flow, so we will deal with solitons for the inverse mean curvature flow in this talk. Several examples of the solitons are introduced and classifications of rotationally symmetric homothetic and translating solitons are provided according to the asymptotic behavior. Furthermore, the incompleteness of any translating solitons and homothetic solitons with restrict homothetic ratio can be proved and also the area growth of the solitons are obtained.