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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/25063完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王藹農 | |
| dc.contributor.author | Shih-Kai Lin | en |
| dc.contributor.author | 林士凱 | zh_TW |
| dc.date.accessioned | 2021-06-08T06:01:23Z | - |
| dc.date.copyright | 2011-08-16 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-08-07 | |
| dc.identifier.citation | [1] Antonio Masiello, Variational methods in Lorentzian geometry.
[2] Barrett O’nell, Semi-riemannian Geometry. [3] Bernd G. Schmidt, Einstein’s Field Equations and Their Physical Implications. [4] Erasmo Caponio, An intrinsic Fermat principle on stationary Lorentzian manifolds and applications, Differential Geometry and its Applications 16(2002) 245-265. [5] Fabio Giannoni, Antonio Masiello, and Paolo Piccione, On the Finiteness of Light Rays Between a Source and an Observer on Conformally Stationary Space-Time, General Relativity and Gravitation, Vol.33, No.3, 2001. [6] Fabio Giannoni and Paolo Piccione, An Intrinsic Approach to the Geodesical Connectedness of Stationary Lorentzian Manifolds, Communications in Analysis and Geometry, Vol.7, No.1, 157-197, 1999. [7] John K. Beem, Paul E. Ehrlich, Kevin L. Easley, Global Lorentzian Geometry. [8] Vieri Benci and Donato Fortunato, On the Exiestence of Infinitely Many Geodesics on Space-Time Manifolds, Advances in Mathematics, Vol.105, 1-25, 1994. [9] Vieri Benci, Donato Fortunato, and Antonio Masiello, On the geodesic connectedness of Lorentzian manifolds, Mathematische Zeitschrift, Vol.217, 73-93, 1994 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/25063 | - |
| dc.description.abstract | 這篇論文主要討論費瑪原理及重力透鏡效應. 也就是在重力場給定下, 光子自光源出發走向觀測者的路徑存在性及其重數. 並且注意到這些都是前人的結果. | zh_TW |
| dc.description.abstract | In this paper we discuss the well-known Fermat principle and Gravitational lens effect. That is, the existence and multiplicity of future pointing lightlike geodesics joining a pointlike source event and a timelike curve as an observer, or equivalently, past pointing lightlike geodesics joining an event for observing and a timelike curve as an source. Also note that there are no new results. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T06:01:23Z (GMT). No. of bitstreams: 1 ntu-100-R97221029-1.pdf: 190170 bytes, checksum: cb381f0739fbc48356e12f26e390a1ec (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | Acknowledgement…………………………………………i
Abstract in Chinese……………………………………ii Abstract in Engligh……………………………………iii Content……………………………………………………iv Introduction………………………………… …………1 Preliminaries……………………………………………1 The existence views……………………………………3 The multiplicity views………………………………13 Reference……………………………………………… 16 | |
| dc.language.iso | en | |
| dc.subject | 廣義相對論 | zh_TW |
| dc.subject | 費瑪原理 | zh_TW |
| dc.subject | 重力透鏡效應 | zh_TW |
| dc.subject | 類光測地線 | zh_TW |
| dc.subject | Lightlike Geodesic | en |
| dc.subject | General Relativity | en |
| dc.subject | Fermat Principle | en |
| dc.subject | Gravitational Lens Effect | en |
| dc.title | 廣義相對論中的費瑪原理 | zh_TW |
| dc.title | Fermat Principle in General Relativity | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 楊樹文,張樹城 | |
| dc.subject.keyword | 費瑪原理,重力透鏡效應,類光測地線,廣義相對論, | zh_TW |
| dc.subject.keyword | Fermat Principle,Gravitational Lens Effect,Lightlike Geodesic,General Relativity, | en |
| dc.relation.page | 16 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2011-08-07 | |
| 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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