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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
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.
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
出版物タイトル
Manuscripta Mathematica
136巻
1-2号
出版者
Springer
開始ページ
115
終了ページ
141
ISSN
0025-2611
NCID
AA00721187
資料タイプ
学術雑誌論文
言語
English
著作権者
© Springer-Verlag 2011
論文のバージョン
author
査読
有り
DOI
Web of Science KeyUT