A class of Riemannian manifolds with integrable geodesic flows

Kazuo YAMATO

doi:10.2969/jmsj/04740719

Kazuo YAMATO

著者情報

ジャーナルフリー

1995 年 47 巻 4 号 p. 719-733

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

詳細

Published: 1995 Received: 1993/12/24 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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