請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43376完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王藹濃 | |
| dc.contributor.author | Hung-Zen Liao | en |
| dc.contributor.author | 廖宏仁 | zh_TW |
| dc.date.accessioned | 2021-06-15T01:52:52Z | - |
| dc.date.available | 2009-07-14 | |
| dc.date.copyright | 2009-07-14 | |
| dc.date.issued | 2009 | |
| dc.date.submitted | 2009-07-01 | |
| dc.identifier.citation | [1] J.Moser, A sharp Form of an inequality by N.Trudinger. Indiana University
mathematic Journals,vol.20, 1971. [2] L. Kazdan and F. Warner. Curvature function for compact 2-manifold. The Annals of Mathematics,second series,vol.99,no.1,p14-47 [3] R.Schoen and S.-T.Yau. Lectures on differential geometry,volp183-198 [4] X. Xu and P.Yang, Remarks on prescribing Gauss curvture AMS.Vol336,Soc.1993,p831-840 [5] Wenxinog Chen and Congming Li A note on the Kazdan-Warner type conditions J.D.G.(1995)p259-268 21 [6] Zheng-Chao Han and Yan Yan Li A note on the Kazdan-Warner type condition Annales de l’I.H.P.,section C,tome 13,n3(1996),p.283-292 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43376 | - |
| dc.description.abstract | 有關黎曼曲面上，在給定高斯曲率後，是否存在保角變換，使得原來的黎曼度量跟後來的黎曼度量有這樣的保角關係，若否，是否能找的條件使其成立。 | zh_TW |
| dc.description.abstract | If g is a metric on M and if K' satisfies the sign conditions, is K' the curvature
of some metric g', that is pointwise conformal to g. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T01:52:52Z (GMT). No. of bitstreams: 1 ntu-98-R94221008-1.pdf: 285598 bytes, checksum: 9a97ee706db8e6b7c007e05ccdbfe7dc (MD5) Previous issue date: 2009 | en |
| dc.description.tableofcontents | 0 Introduction 1
1 Case of (M) < 0p2 2 Case of (M)=0p6 3 Case of (M) > 0 10 4 Appendix 14 4.1 Identity in x(M) = 0 14 4.2 The best constant of Trudinger’s inequality . . . . . . . . . . . 14 5 Remark on Kazdan-Warner’s work 21 | |
| dc.language.iso | en | |
| dc.subject | 保角變換 | zh_TW |
| dc.subject | prescribed Gaussian curvature | en |
| dc.title | 黎曼曲面上之保角變換 | zh_TW |
| dc.title | Survey on conformal metrics with
prescribed Gaussian curvature on compact Riemannian manifold | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 97-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 張樹城,鄭日新 | |
| dc.subject.keyword | 保角變換, | zh_TW |
| dc.subject.keyword | prescribed Gaussian curvature, | en |
| dc.relation.page | 22 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2009-07-02 | |
| 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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