Titre :	Two classes of Riemannian manifolds whose geodesic flows are integrable
Type de document :	texte imprimé
Auteurs :	Kazuyoshi Kiyohara
Editeur :	Providence, R.I. : American Mathematical Society
Année de publication :	1997
Collection :	Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 619
Importance :	143 p.
ISBN/ISSN/EAN :	978-0-8218-0640-1
Langues :	Anglais
Catégories :	37-XX Dynamical systems and ergodic theory :37DXX Dynamical systems with hyperbolic behavior:37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 37-XX Dynamical systems and ergodic theory :37JXX Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems :37J35 Completely integrable systems, topological structure of phase space, integration methods 37-XX Dynamical systems and ergodic theory :37JXX Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems :37J99 None of the above, but in this section 37-XX Dynamical systems and ergodic theory :37KXX Infinite-dimensional Hamiltonian systems :37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) 53-XX Differential geometry :53-02 Research exposition (monographs, survey articles) 53-XX Differential geometry :53CXX Global differential geometry :53C22 Geodesics 53-XX Differential geometry :53DXX Symplectic geometry, contact geometry :53D25 Geodesic flows 70-XX Mechanics of particles and systems :70HXX Hamiltonian and Lagrangian mechanics :70H20 Hamilton-Jacobi equations
Mots-clés :	liouville manifolds  classification  c_{2pi}-manifolds  completely integrable geodesic flows
Index. décimale :	Mem

Two classes of Riemannian manifolds whose geodesic flows are integrable [texte imprimé] / Kazuyoshi Kiyohara . - Providence, R.I. : American Mathematical Society, 1997 . - 143 p. . - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 619) .
ISBN : 978-0-8218-0640-1
Langues : Anglais

Catégories :	37-XX Dynamical systems and ergodic theory :37DXX Dynamical systems with hyperbolic behavior:37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 37-XX Dynamical systems and ergodic theory :37JXX Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems :37J35 Completely integrable systems, topological structure of phase space, integration methods 37-XX Dynamical systems and ergodic theory :37JXX Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems :37J99 None of the above, but in this section 37-XX Dynamical systems and ergodic theory :37KXX Infinite-dimensional Hamiltonian systems :37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) 53-XX Differential geometry :53-02 Research exposition (monographs, survey articles) 53-XX Differential geometry :53CXX Global differential geometry :53C22 Geodesics 53-XX Differential geometry :53DXX Symplectic geometry, contact geometry :53D25 Geodesic flows 70-XX Mechanics of particles and systems :70HXX Hamiltonian and Lagrangian mechanics :70H20 Hamilton-Jacobi equations
Mots-clés :	liouville manifolds  classification  c_{2pi}-manifolds  completely integrable geodesic flows
Index. décimale :	Mem