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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/57175
Title: | 極小曲面的極小極大構造法 Min-max construction of minimal surface |
Authors: | Yuan Shyong Ooi 黃垣熊 |
Advisor: | 李瑩英 |
Keyword: | 極小極大構造法,極小曲面, min-max construction,minimal surfaces, |
Publication Year : | 2014 |
Degree: | 碩士 |
Abstract: | 本論文將討論如何通過極小極大方法來構造極小曲面。我們主要討論在這方法之下,極小曲面的存在性問題。
這方法有很多不同的版本,我們主要的參考文獻來自 Colding 和 De Lellis 的 The min-max construction of minimal surfaces[CD]。我們也將會在第一章節提到其他造極小曲面的極小極大方法。 In this thesis, we shall survey the construction of minimal surface in closed three-manifold via min-max construction. Our focus will be on the existence of the min-max stationary varifold via this construction. There are many different type min-max construction. Our main reference is The min-max construction of minimal surfaces [CD] by Colding and De Lellis in which they apply min-max method in the isotopy class of generalized family of surfaces. We shall also mention some other min-max method in the introduction part. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/57175 |
Fulltext Rights: | 有償授權 |
Appears in Collections: | 數學系 |
Files in This Item:
File | Size | Format | |
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ntu-103-1.pdf Restricted Access | 583.52 kB | Adobe PDF |
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