On the integrability of geodesic flows of submersion metrics

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dc.creatorJovanovic, Bozidar
dc.date2002-04-25
dc.date2003-04-09
dc.date.accessioned2026-07-07T04:29:10Z
dc.date.available2026-07-07T04:29:10Z
dc.descriptionSuppose 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.
dc.description10 pages, minor changes
dc.identifierhttps://arxiv.org/abs/math-ph/0204048
dc.identifierhttp://arxiv.org/abs/math-ph/0204048
dc.identifierLetters in Mathematical Physics, 61:29-39, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57053
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject70H06, 37J35, 53D25
dc.titleOn the integrability of geodesic flows of submersion metrics
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