The Four-vertex Theorem in Riemannian 2-manifolds
碩士 === 國立臺灣師範大學 === 數學系 === 94 === 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...
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2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/70037054348982422151 |
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ndltd-TW-094NTNU54790172016-06-01T04:21:54Z http://ndltd.ncl.edu.tw/handle/70037054348982422151 The Four-vertex Theorem in Riemannian 2-manifolds 在二維黎曼流形上的四頂點定理 黃志強 碩士 國立臺灣師範大學 數學系 94 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. 林俊吉 2006 學位論文 ; thesis 15 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
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碩士 === 國立臺灣師範大學 === 數學系 === 94 === 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.
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| author2 |
林俊吉 |
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林俊吉 黃志強 |
| author |
黃志強 |
| spellingShingle |
黃志強 The Four-vertex Theorem in Riemannian 2-manifolds |
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黃志強 |
| title |
The Four-vertex Theorem in Riemannian 2-manifolds |
| title_short |
The Four-vertex Theorem in Riemannian 2-manifolds |
| title_full |
The Four-vertex Theorem in Riemannian 2-manifolds |
| title_fullStr |
The Four-vertex Theorem in Riemannian 2-manifolds |
| title_full_unstemmed |
The Four-vertex Theorem in Riemannian 2-manifolds |
| title_sort |
four-vertex theorem in riemannian 2-manifolds |
| publishDate |
2006 |
| url |
http://ndltd.ncl.edu.tw/handle/70037054348982422151 |
| work_keys_str_mv |
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1718289976275238912 |