Journal of Nonlinear Mathematical Physics

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Volume 17, Issue 4, December 2010, Pages 423 - 428

Some Examples of Algebraic Geodesics on Quadrics. II

Authors
A. M. Perelomov
Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia,perelomo@dftuz.unizar.es
Received 25 July 2010, Accepted 7 October 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925110001008How to use a DOI?
Keywords
Integrable systems; two-dimensional quadrics; algebraic geodesics
Abstract

In this note we give new examples of algebraic geodesics on some two-dimensional quadrics, namely, on ellipsoids, one-sheet hyperboloids, and hyperbolic paraboloids. It appears that in all considered cases, such geodesics are rational space curves.

Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - 4
Pages
423 - 428
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110001008How to use a DOI?
Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - A. M. Perelomov
PY  - 2021
DA  - 2021/01/07
TI  - Some Examples of Algebraic Geodesics on Quadrics. II
JO  - Journal of Nonlinear Mathematical Physics
SP  - 423
EP  - 428
VL  - 17
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110001008
DO  - 10.1142/S1402925110001008
ID  - Perelomov2021
ER  -