Geometry Seminar

 

Mean curvature flow with

convex Gauss image

 

Professor Yuanlong Xin

Fudan University, Shanghai

 

 

Abstract

We study the mean curvature flow of complete submanifolds in Euclidean space with convex Gauss image and bounded curvature. We prove the confinable property of the Gauss image under the mean curvature flow which in turn help us to obtain the curvature estimates, then we prove a long time existence result, a higher codimensional generalization of the corresponding result due to Ecker-Huisken.

 

Date:

February 8, 2007 (Thursday)

Time:

3:00 – 4:00pm

Place:

Room 517, Meng Wah Complex, HKU

 

 

 

All are welcome