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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/70735完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 鄭日新(Jih-Hsin Cheng) | |
| dc.contributor.author | Wei-Ting Kao | en |
| dc.contributor.author | 高尉庭 | zh_TW |
| dc.date.accessioned | 2021-06-17T04:36:35Z | - |
| dc.date.available | 2018-08-09 | |
| dc.date.copyright | 2018-08-09 | |
| dc.date.issued | 2018 | |
| dc.date.submitted | 2018-08-08 | |
| dc.identifier.citation | [1] Richard Arnowitt, Stanley Deser, and Charles W Misner. Coordinate invariance and energy expressions in general relativity. Physical Review, 122(3):997, 1961.
[2] Jih-Hsin Cheng, Hung-Lin Chiu, and Paul Yang. Uniformization of spherical cr manifolds. Advances in Mathematics, 255:182–216, 2014. [3] Jih-Hsin Cheng, Andrea Malchiodi, and Paul Yang. A positive mass theorem in three dimensional cauchy–riemann geometry. Advances in Mathematics, 308:276–347, 2017. [4] James J Faran et al. Local invariants of foliations by real hypersurfaces. The Michigan Mathematical Journal, 35(3):395–404, 1988. [5] C Robin Graham, John M Lee, et al. Smooth solutions of degenerate laplacians on strictly pseudoconvex domains. Duke mathematical journal, 57(3):697–720, 1988. [6] Chin-Yu Hsiao and Po-Lam Yung. Solving the kohn laplacian on asymptotically flat cr manifolds of dimension 3. Advances in Mathematics, 281:734– 822, 2015. [7] David Jerison, John M Lee, et al. The yamabe problem on cr manifolds. Journal of Differential Geometry, 25(2):167–197, 1987. [8] David Jerison, John M Lee, et al. Intrinsic cr normal coordinates and the cr yamabe problem. Journal of Differential Geometry, 29(2):303–343, 1989. [9] John M Lee and Thomas H Parker. The yamabe problem. Bulletin of the American Mathematical Society, 17(1):37–91, 1987. [10] Richard Schoen et al. Conformal deformation of a riemannian metric to constant scalar curvature. Journal ofDifferential Geometry, 20(2):479–495, 1984. [11] Richard Schoen and Shing-Tung Yau. On the proof of the positive mass conjecture in general relativity. Communications in Mathematical Physics, 65(1):45–76, 1979. [12] Noboru Tanaka. A differential geometric study on strongly pseudo-convex manifolds. Kinokuniya, 1975. [13] Sidney M Webster et al. Pseudo-hermitian structures on a real hypersurface. Journal of Differential Geometry, 13(1):25–41, 1978. [14] Edward Witten. A new proof of the positive energy theorem. Communications in Mathematical Physics, 80(3):381–402, 1981. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/70735 | - |
| dc.description.abstract | 我們考慮用一函數定義的一簇仿埃爾米特流型在二維複向量空間，並在這擾動下給出仿埃爾米特質量的變分公式。為了得出這個結果，我們推廣了Graham 跟Lee所導出的環繞聯絡使其可應用在任意的切觸形式對於這簇仿埃爾米特流型，並且導出在這理論下的共形變換公式去得到偽質量的變分公式。 | zh_TW |
| dc.description.abstract | We consider a family of pseudohermitian manifolds in two dimensional complex vector space, described by the level sets of a defining function, and give the variation formula of p-mass for this deformation. To obtain this result, we generalize the ambient connection done by Graham and Lee for arbitrary contact form and derive the conformal transformation in this theory. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T04:36:35Z (GMT). No. of bitstreams: 1 ntu-107-R05221002-1.pdf: 1252907 bytes, checksum: d940ad4efd0daa967a4918aeea8f2d3b (MD5) Previous issue date: 2018 | en |
| dc.description.tableofcontents | 1 Introduction 2
2 Preliminary 5 2.1 CR manifolds and Tanaka-Wesbter connection . . . . . . . . . . . 5 2.2 Asymptotic flat pseudohermitian manifolds and p-mass . . . . . . 6 3 Positive mass theorem on 3-dimensional CR manifolds...9 4 Graham-Lee ambient connection...12 5 Generalized Graham-Lee ambient connection 6 Variation ...14 6 formula of p-mass...18 Reference ...23 | |
| dc.language.iso | en | |
| dc.subject | 正質量定理 | zh_TW |
| dc.subject | 柯西黎曼流型 | zh_TW |
| dc.subject | positive mass theorem | en |
| dc.subject | pseudohermitian mass | en |
| dc.subject | pseudohermitian manifold | en |
| dc.title | 在三維度柯西黎曼流行上的仿埃米爾特質量變分公式 | zh_TW |
| dc.title | The variation of p-mass on three dimensional CR manifolds | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 106-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 蕭欽玉(Chin-Yu Hsiao),邱鴻麟(Hung-Lin Chiu) | |
| dc.subject.keyword | 柯西黎曼流型,正質量定理, | zh_TW |
| dc.subject.keyword | pseudohermitian manifold,pseudohermitian mass,positive mass theorem, | en |
| dc.relation.page | 24 | |
| dc.identifier.doi | 10.6342/NTU201802485 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2018-08-09 | |
| 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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