A Parametrical Representation of the Riemann''s Minimal Surface with the Weierstrass Functions
碩士 === 國立臺灣大學 === 數學研究所 === 91 === Since every minimal surface in R^3 has an unique Weierstrass Representation, we can define the minimal surface by giving it''s Weierstrass data. In 1997, Gray gave a parametrical reprensentation of Costa''s minimal surface. In this pa...
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2003
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| Online Access: | http://ndltd.ncl.edu.tw/handle/30562754536634177649 |
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ndltd-TW-091NTU004790162016-06-20T04:15:46Z http://ndltd.ncl.edu.tw/handle/30562754536634177649 A Parametrical Representation of the Riemann''s Minimal Surface with the Weierstrass Functions 以WEIERSTRASS函數座標化表示黎曼最小曲面 CHING-HAO CHANG 張清皓 碩士 國立臺灣大學 數學研究所 91 Since every minimal surface in R^3 has an unique Weierstrass Representation, we can define the minimal surface by giving it''s Weierstrass data. In 1997, Gray gave a parametrical reprensentation of Costa''s minimal surface. In this paper, we try to imitate Gray''s formula for Costa''s minimal surface and give a similar formulas to another famous embedded minimal surface : the Riemann''s minimal surface S0, and to an immersed minimal surface S1. All these three surfaces have Weierstrass data involving the Weierstrass p-function and the Weierstrass Zeta function. This similarity gives us a thought to extend Gray''s result on Costa''s case to S0 and S1. Ai-Nung Wang 王藹農 2003 學位論文 ; thesis 30 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
| description |
碩士 === 國立臺灣大學 === 數學研究所 === 91 === Since every minimal surface in R^3 has an unique Weierstrass
Representation, we can define the minimal surface by giving it''s Weierstrass data. In 1997, Gray gave a parametrical reprensentation of Costa''s minimal surface. In this paper, we try to imitate Gray''s formula for Costa''s minimal surface and give a similar formulas to another famous embedded minimal surface : the Riemann''s minimal surface S0, and to an immersed minimal surface S1. All these three surfaces have Weierstrass data involving the Weierstrass p-function and the Weierstrass Zeta function. This similarity gives us a thought to extend Gray''s result on Costa''s case to S0 and S1.
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| author2 |
Ai-Nung Wang |
| author_facet |
Ai-Nung Wang CHING-HAO CHANG 張清皓 |
| author |
CHING-HAO CHANG 張清皓 |
| spellingShingle |
CHING-HAO CHANG 張清皓 A Parametrical Representation of the Riemann''s Minimal Surface with the Weierstrass Functions |
| author_sort |
CHING-HAO CHANG |
| title |
A Parametrical Representation of the Riemann''s Minimal Surface with the Weierstrass Functions |
| title_short |
A Parametrical Representation of the Riemann''s Minimal Surface with the Weierstrass Functions |
| title_full |
A Parametrical Representation of the Riemann''s Minimal Surface with the Weierstrass Functions |
| title_fullStr |
A Parametrical Representation of the Riemann''s Minimal Surface with the Weierstrass Functions |
| title_full_unstemmed |
A Parametrical Representation of the Riemann''s Minimal Surface with the Weierstrass Functions |
| title_sort |
parametrical representation of the riemann''s minimal surface with the weierstrass functions |
| publishDate |
2003 |
| url |
http://ndltd.ncl.edu.tw/handle/30562754536634177649 |
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