Please use this identifier to cite or link to this item:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/34093
Title: | 極小曲上面的聯絡估計 Connection Estimate on Minimal Graphs |
Authors: | Yung-Shiang Ho 何永翔 |
Advisor: | 王藹農 |
Keyword: | 極小曲面, Connection Estimate, |
Publication Year : | 2006 |
Degree: | 碩士 |
Abstract: | 證明R^3中的2維曲面(x,y,u(x,y))上,存在正交標架使得由Levi-Civita聯絡所定義的一次微分形式的長度平方,可以在局部上有一個上界-K. In this paper,We prove that if the minimal surface Sigma^2 contains in R^3 is a graph, then there exists an orthonormal frame such that the norm of Levi-Civita connection one form defined on this frame has an upper bound -K which is the Guassian curvature.With this upper bound, we can find another prove on the theorem of Bernstein. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/34093 |
Fulltext Rights: | 有償授權 |
Appears in Collections: | 數學系 |
Files in This Item:
File | Size | Format | |
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ntu-95-1.pdf Restricted Access | 108.26 kB | Adobe PDF |
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