https://scholars.lib.ntu.edu.tw/handle/123456789/30641
標題: | 均曲率流的拉格拉奇自同構解 Lagrangian Self-Similar Solutions for Mean Curvature Flow |
作者: | 呂楊凱 Lue, Yang-Kai |
關鍵字: | 拉格拉奇;同構解;均曲率;Self-Similar solution;Lagrangian;mean curvature vector | 公開日期: | 2012 | 摘要: | In this thesis, we generalize Colding and Minicozzi''s work on the stability of self-shrinkers in the hypersurface case to higher co-dimensional cases. The 1st and 2nd variation formulae of the $F$-functional are derived and an equivalent condition to the stability in general codimension is found. Using the equivalent condition, we can classify $F$-stable product self-shrinkers and show that the Lagrangian self-shrinkers given by Anciaux are $F$- unstable. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/249921 |
顯示於: | 數學系 |
檔案 | 描述 | 大小 | 格式 | |
---|---|---|---|---|
ntu-101-D95221005-1.pdf | 23.54 kB | Adobe PDF | 檢視/開啟 |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。