A class of Riemannian manifolds with integrable geodesic flows

Kazuo YAMATO

doi:10.2969/jmsj/04740719

Kazuo YAMATO

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JOURNAL FREE ACCESS

1995 Volume 47 Issue 4 Pages 719-733

DOI https://doi.org/10.2969/jmsj/04740719

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Published: 1995 Received: December 24, 1993 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : Be) A. L. Besse, Einstein Manifolds, Springer-Verlag, 1987.
Br) A. V. Brailov, Construction of completely integrable geodesic flows on compact symmetric spaces, Math. USSR-Izv., 29 (1987), 19-31.
D) L. A. Dikii, Hamiltonian systems connected with the rotations group, Functional Anal. Appl., 6 (1972), 326-327.
F) A. T. Fomenko, Symplectic geometry, vol. 5, Gordon and Breach Publishers, 1988.
K) K. Kiyohara, Global structures of Liouville manifolds, preprint.
KN) S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Interscience Publishers, 1963.
Ma) S. V. Manakov, Note on the integration of Euler's equations of the dynamics of an n-dimensional rigid body, Functional Anal. Appl., 10 (1976), 328-329.
Mi) A. S. Mishchenko, Integrals of geodesic flows on Lie groups, Functional Anal. Appl., 4 (1970), 232-235.
Mo) J. Moser, Integrable Hamiltonian Systems and Spectral Theory, Accademia Nazionale Dei Lincei, Pisa, 1981.
O) B. O'Neill, The fundamental equations of a submersion, Michigan Math. J., 13 (1966), 459-469.

Right : [Be] A. L. Besse, Einstein Manifolds, Springer-Verlag, 1987.
[Br] A. V. Brailov, Construction of completely integrable geodesic flows on compact symmetric spaces, Math. USSR-Izv., 29 (1987), 19-31.
[D] L. A. Dikii, Hamiltonian systems connected with the rotations group, Functional Anal. Appl., 6 (1972), 326-327.
[F] A. T. Fomenko, Symplectic geometry, vol. 5, Gordon and Breach Publishers, 1988.
[K] K. Kiyohara, Global structures of Liouville manifolds, preprint.
[KN] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Interscience Publishers, 1963.
[Ma] S. V. Manakov, Note on the integration of Euler's equations of the dynamics of an n-dimensional rigid body, Functional Anal. Appl., 10 (1976), 328-329.
[Mi] A. S. Mishchenko, Integrals of geodesic flows on Lie groups, Functional Anal. Appl., 4 (1970), 232-235.
[Mo] J. Moser, Integrable Hamiltonian Systems and Spectral Theory, Accademia Nazionale Dei Lincei, Pisa, 1981.
[O] B. O'Neill, The fundamental equations of a submersion, Michigan Math. J., 13 (1966), 459-469.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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