Integrable geodesic flows on the sphere, generated by Goryachev-Chaplygin and Kowalewski systems in the dynamics of a rigid body
type: Item
instance of: scholarly article
title: Integrable geodesic flows on the sphere, generated by Goryachev-Chaplygin and Kowalewski systems in the dynamics of a rigid body
zbMATH Open document ID: 0835.70008
DOI: 10.1007/BF02110747
author: A. T. Fomenko
author: A. V. Bolsinov
published in: Mathematical Notes
publication date: 1996-01-08T00:00:00Z
review text: We explicitly construct Riemannian metrics on \(S^2\) corresponding to the two classical Kowalewski and Goryachev-Chaplygin integrable cases, and we show that the first integrals of the corresponding geodesic flows (whose orders are 4 and 3 respectively) do not reduce to linear and quadratic ones.
Mathematics Subject Classification ID: 70E15
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
zbMATH DE Number: 830715
zbMATH Keywords: Euler-Poisson equations
zbMATH Keywords: Maupertuis' principle
zbMATH Keywords: Riemannian metrics
zbMATH Keywords: first integrals
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 830715