Lagrangian and Special Lagrangian Submanifolds in a Calabi-Yau Manifold
碩士 === 國立臺灣大學 === 數學研究所 === 102 === In the first part of this thesis, we survey and summarize some known re- sults in Lagrangian and special Lagrangian geometry. In particular we fo- cus on the structure of the moduli space of special Lagrangian subamanifolds studied by Hitchin. In the second part,...
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2014
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ndltd-TW-102NTU054790302016-03-09T04:24:21Z http://ndltd.ncl.edu.tw/handle/69081068993854230889 Lagrangian and Special Lagrangian Submanifolds in a Calabi-Yau Manifold 卡拉比 -丘流形中的拉格朗日和特殊拉格朗日子流形 Wei-Bo Su 蘇瑋栢 碩士 國立臺灣大學 數學研究所 102 In the first part of this thesis, we survey and summarize some known re- sults in Lagrangian and special Lagrangian geometry. In particular we fo- cus on the structure of the moduli space of special Lagrangian subamanifolds studied by Hitchin. In the second part, we focus on the theory of Lagrangian mean curvature flow, especially the Lagrangian self-similar solutions constructed by Joyce- Lee-Tsui. At the end we describe an unsolved conjecture given by Thomas and Yau. Yng-Ing Lee 李瑩英 2014 學位論文 ; thesis 51 zh-TW |
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zh-TW |
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碩士 === 國立臺灣大學 === 數學研究所 === 102 === In the first part of this thesis, we survey and summarize some known re- sults in Lagrangian and special Lagrangian geometry. In particular we fo- cus on the structure of the moduli space of special Lagrangian subamanifolds studied by Hitchin.
In the second part, we focus on the theory of Lagrangian mean curvature flow, especially the Lagrangian self-similar solutions constructed by Joyce- Lee-Tsui. At the end we describe an unsolved conjecture given by Thomas and Yau.
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| author2 |
Yng-Ing Lee |
| author_facet |
Yng-Ing Lee Wei-Bo Su 蘇瑋栢 |
| author |
Wei-Bo Su 蘇瑋栢 |
| spellingShingle |
Wei-Bo Su 蘇瑋栢 Lagrangian and Special Lagrangian Submanifolds in a Calabi-Yau Manifold |
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Wei-Bo Su |
| title |
Lagrangian and Special Lagrangian Submanifolds in a Calabi-Yau Manifold |
| title_short |
Lagrangian and Special Lagrangian Submanifolds in a Calabi-Yau Manifold |
| title_full |
Lagrangian and Special Lagrangian Submanifolds in a Calabi-Yau Manifold |
| title_fullStr |
Lagrangian and Special Lagrangian Submanifolds in a Calabi-Yau Manifold |
| title_full_unstemmed |
Lagrangian and Special Lagrangian Submanifolds in a Calabi-Yau Manifold |
| title_sort |
lagrangian and special lagrangian submanifolds in a calabi-yau manifold |
| publishDate |
2014 |
| url |
http://ndltd.ncl.edu.tw/handle/69081068993854230889 |
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