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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/32191Full metadata record
| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 李瑩英(Yng-Ing Lee) | |
| dc.contributor.author | Chih-Wei Chen | en |
| dc.contributor.author | 陳志偉 | zh_TW |
| dc.date.accessioned | 2021-06-13T03:35:57Z | - |
| dc.date.available | 2006-07-28 | |
| dc.date.copyright | 2006-07-28 | |
| dc.date.issued | 2006 | |
| dc.date.submitted | 2006-07-26 | |
| dc.identifier.citation | [1] U. Abresch and J. Langer, The normalized curve shortening flow
and homothetic solutions, J. Diff. Geom. 23 (1986), 175-196. [2] S. J. Altschuler and M. A. Grayson, Singularities of the curve shrinking flow for space curves, J. Diff. Geom. 34 (1991), 491-514. [3] S. J. Altschuler and M. A. Grayson, Shortening space curves and flow through singularities, J. Diff. Geom. 35 (1992), 283-298. [4] S. Angenent, On the formation of singularities in the curve shortening flow, J. Diff. Geom. 33 (1991), 601-633. [5] M. Gage, An isoperimetric inequality with application to curve shortening, Duke Math. J. 50 (1983), 1225-1229. [6] M. Gage, Curve shortening makes convex curves circular, Invent. Math. 76 (1984), 357-364. [7] M. Gage and R. S. Hamilton, The heat equation shrinking convex plane curves, J. Diff. Geom. 23 (1986), 69-96. [8] M. A. Grayson, The heat equation shrinks embedded plane curves to round points, J. Diff. Geom. 26 (1987), 285-314. [9] M. A. Grayson, Shortening embedded curves, Ann. of Math. 129 (1989), 71-111. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/32191 | - |
| dc.description.abstract | 本論文討論二維黎曼流形中的封閉嵌入曲線在曲線流之下的性質。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2021-06-13T03:35:57Z (GMT). No. of bitstreams: 1 ntu-95-R93221020-1.pdf: 326592 bytes, checksum: d8144380786c37b1906aa1cd362c280b (MD5) Previous issue date: 2006 | en |
| dc.description.tableofcontents | Contents
1 Introduction 1 2 Notation and preliminaries 3 3 Short time existence 5 4 The cusp theorem and its generalization 6 5 The δ-whisker lemma and embeddedness 9 6 Curvature estimates 11 7 Asymptotic behavior 16 | |
| dc.language.iso | en | |
| dc.title | 曲線流的相關研討 | zh_TW |
| dc.title | A Survey of Curve Shortening Flow | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 94-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王藹農,張樹城,蔡東和 | |
| dc.subject.keyword | 曲線流, | zh_TW |
| dc.subject.keyword | curve shortening flow, | en |
| dc.relation.page | 18 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2006-07-27 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| dc.date.embargo-terms | 2300-01-01 | |
| dc.date.embargo-lift | 2300-01-01 | - |
| Appears in Collections: | 數學系 | |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-95-1.pdf Restricted Access | 318.94 kB | Adobe PDF |
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