請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/37364完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王藹農(Ai-Nung Wang) | |
| dc.contributor.author | Po-Yao Chang | en |
| dc.contributor.author | 張博堯 | zh_TW |
| dc.date.accessioned | 2021-06-13T15:25:38Z | - |
| dc.date.available | 2008-08-04 | |
| dc.date.copyright | 2008-08-04 | |
| dc.date.issued | 2008 | |
| dc.date.submitted | 2008-07-18 | |
| dc.identifier.citation | References
[1] F. R. Harvey, Spinors and Calibrations, Academic Press, Boston, 1990. [2] H. B. Lawson, Marie-Louise Michelsohn, Spin Geometry, Princeton Univ. Press., Princeton N. J., 1989. [3] J. W. Milnor, J. I. Stasheff, Characteristic Classes, Princeton Univ. Press, Princeton N. J., 1974. [4] T. Parker, C. H. Taubes, On Witten’s Proof of the Positive Energy Theorem, Commum. Math. Phys. 84, 1982, 223-238. [5] N. Steenrod, Topology of Fibre Bundles, Princeton Univ. Press, Princeton N.J., 1951. [6] E. Witten, A simple proof of the Positive Energy Theorem, Commmun. Math. Phys. 80, 1981, 381-402. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/37364 | - |
| dc.description.abstract | 這篇文章將1981年Edward Witten正質量定理的證明放到旋轉幾何的結構之下去探討 | zh_TW |
| dc.description.abstract | This paper is a complete introduction to the proof of positive energy theorem given by Witten in 1981. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T15:25:38Z (GMT). No. of bitstreams: 1 ntu-97-R95221007-1.pdf: 445034 bytes, checksum: 3e60b7183a9ad94a5dca48d91ff26a5c (MD5) Previous issue date: 2008 | en |
| dc.description.tableofcontents | Contents
1. Spin Geometry 1 1.1. Basic Tools 1 1.2. Further Examinations 3 1.3. Classification Theorem 5 1.4. Representations 6 1.5. The Spinor Structure Map 9 1.6. Inner Products 13 2. Topology 17 2.1. Homotopy Group 17 2.2. Obstructions and Spin structures 20 2.3. Stiefel-Whitney Classes 24 2.4. Fiber Bundles on Spin Manifolds 26 3. Positive Energy Theorem 31 3.1. Backgroud and Statement 31 3.2. Dirac Operator and Weitzenbock Formula 32 3.3. The proof of positive energy theorem 36 References 41 | |
| dc.language.iso | en | |
| dc.subject | 纖維叢 | zh_TW |
| dc.subject | 正質量定理 | zh_TW |
| dc.subject | 旋轉幾何 | zh_TW |
| dc.subject | 蒼井空 | zh_TW |
| dc.subject | 廣義相對論 | zh_TW |
| dc.subject | 特徵類 | zh_TW |
| dc.subject | Positive Energy Theorem | en |
| dc.subject | Fibre Bundles | en |
| dc.subject | Characteristic Classes | en |
| dc.subject | General Relativity | en |
| dc.subject | Aoi Sora | en |
| dc.subject | Spin Geometry | en |
| dc.title | 正質量定理 | zh_TW |
| dc.title | Survey on Positive Energy Theorem | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 96-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 李瑩英(Yng-Ing Lee),楊樹文 | |
| dc.subject.keyword | 正質量定理,旋轉幾何,蒼井空,廣義相對論,特徵類,纖維叢, | zh_TW |
| dc.subject.keyword | Positive Energy Theorem,Spin Geometry,Aoi Sora,General Relativity,Characteristic Classes,Fibre Bundles, | en |
| dc.relation.page | 41 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2008-07-18 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-97-1.pdf 未授權公開取用 | 434.6 kB | Adobe PDF |
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