|
|
| |
| Mean Curvature Flow with Convex Gauss Image |
| |
Citation： |
Yuanlong XIN.Mean Curvature Flow with Convex Gauss Image[J].Chinese Annals of Mathematics B,2008,29(2):121~134 |
| Page view： 1182
Net amount： 920 |
Authors： |
Yuanlong XIN; |
Foundation： |
National Natural Science Foundation of China (No. 10531090) |
|
|
| Abstract： |
In this paper, the mean curvature flow of complete submanifolds in Euclidean
space with convex Gauss image and bounded curvature is studied. The confinable property of the Gauss image under the mean curvature flow is proved, which in turn helps one to obtain the curvature estimates. Then the author proves a long time existence result. The asymptotic behavior of these solutions when $t\rightarrow \infty$ is also studied. |
Keywords： |
Mean curvature flow, Convex Gauss image, Curvature estimates, Long time existence |
Classification： |
53C44 |
|
|
Download PDF Full-Text
|
