On the integrability of geodesic flows of submersion metrics
Mathematical Physics
2007-05-23 v2 Dynamical Systems
math.MP
Abstract
Suppose we are given a compact Riemannian manifold (Q,g)with completely integrable geodesic flow. Let G be a compact connected Lie group acting freely on Q by isometries. The natural question arises: will the geodesic flow on Q/G equipped with the submersion metric be integrable? Under one natural assumption, we prove that the answer is affirmative. New examples of manifolds with completely integrable geodesic flows are obtained.
Keywords
Cite
@article{arxiv.math-ph/0204048,
title = {On the integrability of geodesic flows of submersion metrics},
author = {Bozidar Jovanovic},
journal= {arXiv preprint arXiv:math-ph/0204048},
year = {2007}
}
Comments
10 pages, minor changes