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JOURNALS // Regular and Chaotic Dynamics // Archive
Regul. Chaotic Dyn., 2011 Volume 16, Issue 5, Pages 504–513 (Mi rcd466)
This article is cited in 5 papers

Geodesic Flows on Riemannian g.o. Spaces

Božidar Jovanović

Mathematical Institute, Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000 Belgrade, Serbia

Abstract: We prove the integrability of geodesic flows on the Riemannian g.o. spaces of compact Lie groups, as well as on a related class of Riemannian homogeneous spaces having an additional principal bundle structure.

Keywords: noncommutative integrability, geodesic orbit spaces, complexity of homogeneous spaces, fiber bundles.

MSC: 70H06, 37J35, 53D25

Received: 15.12.2010
Accepted: 14.04.2011

Language: English

DOI: 10.1134/S1560354711050078



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