Integrable Geodesic Flows on Two-Dimensional Surfaces

Name: Integrable Geodesic Flows on Two-Dimensional Surfaces
Brand: Springer, Berlin
SKU: 9780306110658
Price: 1376.5 RON
Availability: InStock

Autor: A.V. Bolsinov, A.T. Fomenko

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Legare: Copertă tare

Editura: Springer, Berlin

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Presenting a new approach to qualitative analysis of integrable geodesic flows based on the theory o...

Informații despre carte

Autor

A.V. Bolsinov, A.T. Fomenko

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1999

Pagini

322

EAN

9780306110658

ISBN

0306110652

Enbook ID

01376099

Editura

Springer, Berlin

Greutate

866

Dimensiuni

178 x 254 x 21

Descriere completă

Presenting a new approach to qualitative analysis of integrable geodesic flows based on the theory of topological classification of integrable Hamiltonian systems, this is the first book to apply this technique systematically to a wide class of integrable systems. The first part of the book provides an introduction to the qualitative theory of integrable Hamiltonian systems and their invariants (symplectic geometry, integrability, the topology of Liouville foliations, the orbital classification theory for integrable nondegenerate Hamiltonian systems with two degrees of freedom, obstructions to integrability, etc). In the second part, the class of integrable geodesic flows on two-dimensional surfaces is discussed both from the classical and contemporary point of view. The authors classify them up to different equivalence relations such as an isometry, the Liouville equivalence, the trajectory equivalence (smooth and continuous), and the geodesic equivalence. A new technique, which provides the possibility to classify integrable geodesic flows up to these kinds of equivalences, is presented together with applications. Together with systematic presentation of wide material on this subject, the book contains previously unpublished new results, and is enhanced with many original illustrations.

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