請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6862完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 張樹城(Shu-Cheng Chang) | |
| dc.contributor.author | Pei-Ken Hung | en |
| dc.contributor.author | 洪培根 | zh_TW |
| dc.date.accessioned | 2021-05-17T09:19:46Z | - |
| dc.date.available | 2012-06-29 | |
| dc.date.available | 2021-05-17T09:19:46Z | - |
| dc.date.copyright | 2012-06-29 | |
| dc.date.issued | 2012 | |
| dc.date.submitted | 2012-06-25 | |
| dc.identifier.citation | [1] B. Andrews, Non-collapsing in mean convex mean curvature flow. arXiv:1108.0247v1
[2] R. Currier, On hypersurfaces of hyperbolic space infinitesimally supported by horospheres. Trans. Amer. Math. Soc. , (1989), 313, (1), 412-431 [3] G.Huisken, A distance comparison principle for evolving curves. Asian J. Math., 2(1):127-133, 1998. [4] R. S. Hamilton, Isoperimetric estimates for the curve shrinking flow in the plane. In Modern methods in complex analysis (Princeton, NJ, 1992), volume 137 of Ann. of Math. Stud., pages 201-222. Princeton Univ. Press, Princeton, NJ, 1995. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6862 | - |
| dc.description.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。 | zh_TW |
| dc.description.abstract | 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. | en |
| dc.description.provenance | Made available in DSpace on 2021-05-17T09:19:46Z (GMT). No. of bitstreams: 1 ntu-101-R99221011-1.pdf: 213339 bytes, checksum: 5f1c3ca1d4240426676deca7c09c5138 (MD5) Previous issue date: 2012 | en |
| dc.description.tableofcontents | 目 錄
口試委員會審定書……………………………………………………………… i 誌謝………………………………………………………………………………. ii 中文摘要………………………………………………………………………… iii 第一節 ……………………………………………………………………….. 1 第二節 ……………………………………………………………………………2 第三節 ……………………………………………………………………………3 第四節 …………………………………………………………………………8 參考文獻…………………………………………………………………….…… 12 | |
| dc.language.iso | en | |
| dc.subject | maximal principle | en |
| dc.subject | mean curvature flow | en |
| dc.subject | scale invariant | en |
| dc.title | 空間形式中均曲率流的幾何性質 | zh_TW |
| dc.title | The Non-collapsing Property for Mean Curvature flow in S^{n+1} | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 100-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.coadvisor | 王慕道(Mu-Tao Wang) | |
| dc.contributor.oralexamcommittee | 李瑩英(Yng-Ing Lee) | |
| dc.subject.keyword | 均曲率流,尺度不變量,最大值原理, | zh_TW |
| dc.subject.keyword | mean curvature flow,scale invariant,maximal principle, | en |
| dc.relation.page | 12 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2012-06-26 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-101-1.pdf | 208.34 kB | Adobe PDF | 檢視/開啟 |
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