Geometry and real-analytic integrability

Regular and Chaotic Dynamics

Volumn 11, Issue 3, 2006, Pages 363-369

  Butler, L T ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Geodesic flows; Integrable systems; Momentum map; Real analytic integrability

Indexed keywords

EID: 33846477344     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/RD2006v011n03ABEH000359     Document Type: Article

References (5)

1. O. I. Bogoyavlenskij. Theory of tensor invariants of integrable Hamiltonian systems. II. Theorem on symmetries and its applications. Comm. Math. Phys., 184 (1997), 301-365.
2. L. T. Butler. New examples of integrable geodesic flows. Asian J. Math., 4 (2000), 515-526.
3. L. T. Butler. Integrable geodesic flows with wild first integrals: the case of two-step nilmanifolds. Ergodic Theory Dynam. Systems, 23 (2003), 771-797.
4. L. T. Butler. Invariant fibrations of geodesic flows Topology, 44 (2005), 769-789.
5. I. A. Taimanov. Topological obstructions to the integrability of geodesic flows on nonsimply connected manifolds. Izv. Akad. Nauk SSSR Ser. Mat., 51 (1987), 429-435. English. transl.: Math. USSR-Izv., 30 (1988), 403-409.