Mean curvature flow with
convex Gauss image
Professor Yuanlong
Xin
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: |
|
Time: |
|
Place: |
Room 517, Meng Wah Complex, HKU |
|
All are
welcome |
|