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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6862| Title: | 空間形式中均曲率流的幾何性質 The Non-collapsing Property for Mean Curvature flow in S^{n+1} |
| Authors: | Pei-Ken Hung 洪培根 |
| Advisor: | 張樹城(Shu-Cheng Chang) |
| Co-Advisor: | 王慕道(Mu-Tao Wang) |
| Keyword: | 均曲率流,尺度不變量,最大值原理, mean curvature flow,scale invariant,maximal principle, |
| Publication Year : | 2012 |
| Degree: | 碩士 |
| Abstract: | 跟著 [1] 中的計算，我們利用特定的次橢圓算子以及最大值原理來證明球面上餘維度 1 曲面的某些性質會在均曲率流中會保持。利用同樣的方法，我們證明雙曲空間中餘維度 1 的均曲率流也會保持某種凸性。 Following the same computation in [1], we use certain subelliptic operator and maximal principle to prove non-collapsing for mean curvature flow in $S^{n+1}$. We also use similar method to prove the preservation of convexity for mean curvature flow in the hyperbolic space. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6862 |
| Fulltext Rights: | 同意授權(全球公開) |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-101-1.pdf | 208.34 kB | Adobe PDF | View/Open |
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