請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8640完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 張樹城(Shu-Cheng Chang) | |
| dc.contributor.author | Yu-Yuan Chen | en |
| dc.contributor.author | 陳裕元 | zh_TW |
| dc.date.accessioned | 2021-05-20T19:59:11Z | - |
| dc.date.available | 2010-06-28 | |
| dc.date.available | 2021-05-20T19:59:11Z | - |
| dc.date.copyright | 2010-06-28 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-06-24 | |
| dc.identifier.citation | [1] R. Bartnik, The mass of an asymptotically flat manifold, Comm. Pure Appl. Math. 39, no.5, 661-693(1986)
[2] R. Schoen, S.T.Yau, On the proof of positive mass conjecture in General Relativity, Commun. Math. Phys.65, 45-76(1979) [3] Finn, R, On a class of conformal metrics, with application to differential geometry in the large, Comment. Math. Helv.40, 1-30(1965) [4] Huber, A, Vollstandige Konforme Metriken und isolierte Singulatitaten subharmonischer funktionen, Comment. Math. Helv.41, 105-136(1966) [5] Huber, A, On subharmonic functions and differential geometry in the large, Comment. Math. Helv.32, 13-72(1957) [6] Huber, A, On the isoperimetric inequality on surfaces of variable Gaussian curvature, Ann. Math.60, 237-247(1954) [7] R.Schoen, S.T.Yau, Proof of the Positive Mass Theorem.II, Commun. math. Phys.79, 231-260(1981) | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8640 | - |
| dc.description.abstract | 此文章主要介紹廣義相對論中的正質量定理,共分三部分,前兩節為介紹此定理及預備知識,第三節為邱成桐及孫理查在1979論文的證明,第四節為他們在1981年的文章的證明大概. | zh_TW |
| dc.description.abstract | This survey article introduces the Positive Mass Theorem in General Relativity. It includes three parts. The first two sections are the introduction and the preliminaries. The third section is the proof of the paper of S. T. Yau and R. Schoen in 1979. In the fourth section, we outline the proof of the paper in 1981. | en |
| dc.description.provenance | Made available in DSpace on 2021-05-20T19:59:11Z (GMT). No. of bitstreams: 1 ntu-99-R97221016-1.pdf: 428740 bytes, checksum: e2c4b40be347247f6ec30c4fc36c94b0 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 誌謝..........................................................................................................i
中文摘要……………………………………………………………….ii 英文摘要……………………………………………………………….iii 1. Introduction.......................................................................................1 2. Preliminaries......................................................................................2 2.1 Initial data set...........................................................................2 2.2 Constraint Equations…………………………………………3 2.3 Asymptotical flatness and ADM mass.....................................4 3. Positive Mass Theorem.....................................................................6 4. General Theorem………………………………………………….12 References……………………………………………………………..16 | |
| dc.language.iso | en | |
| dc.title | 廣義相對論中的正質量定理 | zh_TW |
| dc.title | The Positive Mass Theorem in General Relativity | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王藹農(Ai-Nung Wang),鄭日新(Jih-Hsin Cheng) | |
| dc.subject.keyword | 廣義相對論,正質量定理,微分幾何,邱成桐,孫理查, | zh_TW |
| dc.subject.keyword | General Relativity,Positive Mass Theore,Differential Geometry, S.T. Yau,R. Schoen, | en |
| dc.relation.page | 16 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2010-06-24 | |
| 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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