Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/88453
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 陳天進 | zh_TW |
dc.contributor.advisor | Chen, Tian Jin | en_US |
dc.contributor.author | 林群根 | zh_TW |
dc.contributor.author | Lin, Qun Gen | en_US |
dc.creator | 林群根 | zh_TW |
dc.creator | Lin, Qun Gen | en_US |
dc.date | 1995 | en_US |
dc.date | 1994 | en_US |
dc.date.accessioned | 2016-04-29T08:00:00Z | - |
dc.date.available | 2016-04-29T08:00:00Z | - |
dc.date.issued | 2016-04-29T08:00:00Z | - |
dc.identifier | B2002003515 | en_US |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/88453 | - |
dc.description | 碩士 | zh_TW |
dc.description | 國立政治大學 | zh_TW |
dc.description | 應用數學系 | zh_TW |
dc.description.abstract | 本文中我們將證明Kobayashi擬度量在凸域中的三角不等式成立,任一C<sup>n</sup>中不包含複仿射線之凸域皆可解析嵌入n維單位多重圓板,在凸域中的Carathéodory距離函數產生原來的拓樸以及在凸域中的hyperbolicity和measure hyperbolicity是等價的概念,進而推論到任一體積有限的凸域必須是hyperbolic,因此,當然是measure hyperbolic。 | zh_TW |
dc.description.abstract | In this thesis , we prove that the triangle inequality of the Kobayashi pseudometric holds in any convex domain. Also , for a convex domain Q containing no complex affine line , we prove that Ω is biholomorphic to a subdomain of the unit polydisc D<sup>n</sup> and the topology induced by the Carathéodory distance function coincides with the Euclidean topology of Ω. Finally , we prove that hyperbolicity and measure hyperbolicity in a convex domain are equivalent. Moreover, any convex domain with finite Euclidean volume must be hyperbolic, therefore , it is measure hyperbolic. | en_US |
dc.description.tableofcontents | 摘要\r\nAbstract\r\nContent\r\n§0 Introduction-----1\r\n§1 The Poincáre-Bergman Metric in the Unit Disc-----3\r\n§2 The Kobayashi Pseudodistance and Pseudometric-----6\r\n§3 The Carathéodory Pseudodistance and Pseudometric-----11\r\n§4 An Imbedding of Convex Domain into Unit Polydisc-----14\r\n§5 The Topology Induced by the Carathéodory Distance Function-----20\r\n§6 Measure Hyperbolicity and Convexity-----23 | zh_TW |
dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#B2002003515 | en_US |
dc.title | 在複n維歐氏空間中有關凸域之不變度量與測度 | zh_TW |
dc.title | Invariant metrics and measures on convex domains in C<sup>n</sup> | en_US |
dc.type | thesis | en_US |
item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.openairetype | thesis | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | 學位論文 |
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