Please use this identifier to cite or link to this item:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6789
Title: | 均曲率流的拉格拉奇自同構解 Lagrangian Self-Similar Solutions for Mean Curvature Flow |
Authors: | Yang-Kai Lue 呂楊凱 |
Advisor: | 李瑩英(Yng-Ing Lee) |
Keyword: | 拉格拉奇,同構解,均曲率, Self-Similar solution,Lagrangian,mean curvature vector, |
Publication Year : | 2012 |
Degree: | 博士 |
Abstract: | 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://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6789 |
Fulltext Rights: | 同意授權(全球公開) |
Appears in Collections: | 數學系 |
Files in This Item:
File | Size | Format | |
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ntu-101-1.pdf | 422.31 kB | Adobe PDF | View/Open |
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