Integration of geodesic flows on homogeneous spaces: the case of a wild lie group

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dc.creatorMagazev, A. A.
dc.creatorShirokov, I. V.
dc.date2007-03-21
dc.date.accessioned2026-07-07T07:53:02Z
dc.date.available2026-07-07T07:53:02Z
dc.descriptionWe obtain necessary and sufficient conditions for the integrability in quadratures of geodesic flows on homogeneous spaces $M$ with invariant and central metrics. The proposed integration algorithm consists in using a special canonical transformation in the space $T^*M$ based on constructing the canonical coordinates on the orbits of the coadjoint representation and on the simplectic sheets of the Poisson algebra of invariant functions. This algorithm is applicable to integrating geodesic flows on homogeneous spaces of a wild Lie group.
dc.description18 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0703064
dc.identifierhttp://arxiv.org/abs/math-ph/0703064
dc.identifierTheoretical and Mathematical Physics, 136(3): 1212-1224 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126103
dc.subjectMathematical Physics
dc.subject53D20; 53D25
dc.titleIntegration of geodesic flows on homogeneous spaces: the case of a wild lie group
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