ID | 46828 |
FullText URL | |
Author |
Itoh, Jin-ichi
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Abstract | 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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Note | The final publication is available at www.springerlink.com.
http://dx.doi.org/10.1007/s00229-011-0433-1 |
Published Date | 2011/09
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Publication Title |
Manuscripta Mathematica
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Volume | volume136
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Issue | issue1-2
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Publisher | Springer
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Start Page | 115
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End Page | 141
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ISSN | 0025-2611
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NCID | AA00721187
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Content Type |
Journal Article
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language |
English
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Copyright Holders | © Springer-Verlag 2011
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File Version | author
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Refereed |
True
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DOI | |
Web of Science KeyUT |