Integrable geodesic flows with positive topological entropy

Inventiones Mathematicae

Volumn 140, Issue 3, 2000, Pages 639-650

  Bolsinov, Alexey V ^a   Taimanov, Iskander A ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034349072     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220000066     Document Type: Article

References (10)

1. 1. Butler, L.: A new class of homogeneous manifolds with Liouville-Integrable geodesic flows. Math. Preprint # 1998-8, Queen's University at Kingston, Canada, November, 1998; submitted to J. Differential Geom.
2. 2. Dinaburg, E. I.: On the relations among various entropy characteristics of dynamical systems. Math. USSR Izv. 5 (1971), 337-378
3. 3. Grigorchuk, R. I., Kurchanov, P. F.: Some problems in group theory that are connected with geometry. In: Algebra VII, Encyclopaedia Math. Sci. 58, Berlin, Springer, 1993
4. 4. Kozlov, V. V.: Topological obstructions to the integrability of natural mechanical systems. Soviet Math. Dokl. 20 (1979), 1413-1415
5. 5. Kozlov, V. V.: Integrability and non-integrability in Hamiltonian mechanics. Russian Math. Surveys 38 (1983), 1-76
6. 6. Paternain, G. P.: On the topology of manifolds with completely integrable geodesic flows. Ergod. Theory Dynam. Syst. 12 (1992), 109-121
7. 7. Paternain, G. P.: On the topology of manifolds with completely integrable geodesic flows. II. J. Geom. Phys. 13 (1994), 289-298
8. 8. Taimanov, I. A.: Topological obstructions to integrability of geodesic flows on non-simply-connected manifolds. Math. USSR Izv. 30 (1988), 403-409
9. 9. Taimanov, I. A.: On the topological properties of integrable geodesic flows. Mat. Zametki 44:3 (1988), 283-284 (Russian)
10. 10. Taimanov, I. A.: The topology of Riemannian manifolds with integrable geodesic flows. Proc. Steklov Inst. Math. 205 (1995), 139-150