| 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
|
| Publication Title |
Manuscripta Mathematica
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| Volume | volume136
|
| 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 |
