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Memoirs of the American Mathematical Society
1997; 143 pp; softcover
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Order Code: MEMO/130/619
Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kähler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many new examples of manifolds with integrable geodesic flow.
Graduate students and research mathematicians interested in differential geometry and hamiltonian mechanics.
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