| ID | 46828 |
| フルテキストURL | |
| 著者 |
Itoh, Jin-ichi
Department of Mathematics, Faculty of Education, Kumamoto University
Kiyohara, Kazuyoshi
Department of Mathematics, Faculty of Science, Okayama University
ORCID
Kaken ID
researchmap
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| 抄録 | In the earlier paper (Itoh and Kiyohara, Manuscr Math 114:247–264, 2004), we showed that the cut locus of a general point on two-dimensional ellipsoid is a segment of a curvature line and proved "Jacobi’s last geometric statement" on the singularities of the conjugate locus. In the present paper,we showthat a wider class of Liouville surfaces possess such simple cut loci and conjugate loci. The results include the determination of cut loci and the set of poles on two-sheeted hyperboloids and elliptic paraboloids.
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| 備考 | The final publication is available at www.springerlink.com.
http://dx.doi.org/10.1007/s00229-011-0433-1 |
| 発行日 | 2011/09
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| 出版物タイトル |
Manuscripta Mathematica
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| 巻 | 136巻
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| 号 | 1-2号
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| 出版者 | Springer
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| 開始ページ | 115
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| 終了ページ | 141
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| ISSN | 0025-2611
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| NCID | AA00721187
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| 資料タイプ |
学術雑誌論文
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| 言語 |
英語
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| 著作権者 | © Springer-Verlag 2011
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| 論文のバージョン | author
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| 査読 |
有り
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| DOI | |
| Web of Science KeyUT |
