The classical Bertrand-Darboux problem
Mathematical Physics
2007-05-23 v2 Astrophysics
Differential Geometry
History and Overview
math.MP
Exactly Solvable and Integrable Systems
Abstract
The well-known problem of classical mechanics considered by Bertrand (1857) and Darboux (1901) is reviewed in the context of Cartan's geometry.
Cite
@article{arxiv.math-ph/0604038,
title = {The classical Bertrand-Darboux problem},
author = {Roman G. Smirnov},
journal= {arXiv preprint arXiv:math-ph/0604038},
year = {2007}
}
Comments
20 pages, 4 figures (in total 5 files)