|
|
| |
| The Second Type Singularities of Symplectic and Lagrangian Mean Curvature Flows |
| |
Citation： |
Xiaoli HAN,Jiayu LI,Jun SUN.The Second Type Singularities of Symplectic and Lagrangian Mean Curvature Flows[J].Chinese Annals of Mathematics B,2011,32(2):223~240 |
| Page view： 1877
Net amount： 1472 |
Authors： |
Xiaoli HAN; Jiayu LI; Jun SUN; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10901088, 11001268). |
|
|
| Abstract： |
This paper mainly deals with the type II singularities of the mean curvature
flow from a symplectic surface or from an almost calibrated Lagrangian surface in a K¨ahler
surface. The relation between the maximum of the K¨ahler angle and the maximum of |H|2
on the limit flow is studied. The authors also show the nonexistence of type II blow-up
flow of a symplectic mean curvature flow which is normal flat or of an almost calibrated
Lagrangian mean curvature flow which is flat. |
Keywords： |
Symplectic surface, Lagrangian surface, Mean curvature flow |
Classification： |
53C44, 53C21 |
|
|
Download PDF Full-Text
|
