Journal of Nonlinear Mathematical Physics

Volume 16, Issue 1, March 2013, Pages 1 - 5

Some Examples of Algebraic Geodesics on Quadrics

Authors
A. M. Perelomov
Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia, perelomo@dftuz.unizar.es
Received 3 March 2008, Accepted 4 April 2008, Available Online 7 January 2021.
DOI
https://doi.org/10.1142/S1402925109000108How to use a DOI?
Keywords
Integrable systems, two-dimensional quadrics, algebraic geodesics
Abstract

In this note we give the conditions for the existence of algebraic geodesics on some two-dimensional quadrics, namely, on hyperbolic paraboloids and elliptic paraboloids. It appears that in some cases, such geodesics are the rational space curves.

Copyright
© 2009 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
16 - 1
Pages
1 - 5
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1142/S1402925109000108How to use a DOI?
Copyright
© 2009 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

TY  - JOUR
AU  - A. M. Perelomov
PY  - 2021
DA  - 2021/01
TI  - Some Examples of Algebraic Geodesics on Quadrics
JO  - Journal of Nonlinear Mathematical Physics
SP  - 1
EP  - 5
VL  - 16
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925109000108
DO  - https://doi.org/10.1142/S1402925109000108
ID  - Perelomov2021
ER  -