在二維黎曼流形上的四頂點定理

dc.contributor	林俊吉	zh_TW
dc.contributor.author	黃志強	zh_TW
dc.date.accessioned	2019-09-05T01:11:50Z
dc.date.available	2006-7-27
dc.date.available	2019-09-05T01:11:50Z
dc.date.issued	2006
dc.description.abstract	我們研究從1909年開始的頂點定理之結果。更進一步，我們著重於在二維黎曼流形上的曲線，並且推廣奧瑟曼的證明。在這篇論文，某些二維黎曼流形上特殊曲線的四頂點定理被得到。	zh_TW
dc.description.abstract	We survey the results on the four-vertex theorems, beginning from 1909. Moreover, we focus on curves in Riemannian 2-manifolds and generalize the Osserman’s proof [6]. Some four-vertex theorems for special curves in Riemannian 2-manifolds are derived in this thesis.	en_US
dc.description.sponsorship	數學系	zh_TW
dc.identifier	GN0693400025
dc.identifier.uri	http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0693400025%22.&%22.id.&
dc.identifier.uri	http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101718
dc.language	英文
dc.subject	頂點	zh_TW
dc.subject	曲率	zh_TW
dc.subject	外接圓	zh_TW
dc.subject	四頂點定理	zh_TW
dc.subject	vertex	en_US
dc.subject	curvature	en_US
dc.subject	circumscribed circle	en_US
dc.subject	four-vertex theorem	en_US
dc.title	在二維黎曼流形上的四頂點定理	zh_TW
dc.title	The Four-vertex Theorem in Riemannian 2-manifolds	en_US

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