Integrable Geodesic Flows on Two-Dimensional Surfaces

Name: Integrable Geodesic Flows on Two-Dimensional Surfaces
Brand: Springer, Berlin
SKU: 9780306110658
Price: 263.16 EUR
Availability: InStock

Автор: A.V. Bolsinov, A.T. Fomenko

Език:

Корици: С твърди корици

Издател: Springer, Berlin

Наличност: Външен склад

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263.16 € 514.70 лв

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

Информация за книгата

Автор

A.V. Bolsinov, A.T. Fomenko

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1999

страници

322

EAN

9780306110658

ISBN

0306110652

Enbook ID

01376099

Издател

Springer, Berlin

Теглоt

866

Размери

178 x 254 x 21

Пълно описание

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 Together with systematic presentation of wide material on this subject, the book contains previously unpublished new results, and is enhanced with many original illustrations.

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Integrable Geodesic Flows on Two-Dimensional Surfaces

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