Description du livre Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Geodesic flows of Riemannian metrics on manifolds are one of the classical objects in geometry. A particular place among them is occupied by integrable geodesic flows. We consider them in the context of the general theory of integrable Hamiltonian systems, . N� de r�f. du vendeur 5901102

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Integrable Geodesic Flows on Two-Dimensional Surfaces (Monographs in Contemporary Mathematics)

Bolsinov, A.V.; Fomenko, A.T.

Edit� par Springer (1999)

ISBN 10 : 0306110652 ISBN 13 : 9780306110658

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Description du livre Etat : New. N� de r�f. du vendeur ABLIING23Feb2215580098045

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Integrable Geodesic Flows on Two-Dimensional Surfaces

A. T. Fomenko

Edit� par Springer US Dez 1999 (1999)

ISBN 10 : 0306110652 ISBN 13 : 9780306110658

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Description du livre Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Geodesic flows of Riemannian metrics on manifolds are one of the classical objects in geometry. A particular place among them is occupied by integrable geodesic flows. We consider them in the context of the general theory of integrable Hamiltonian systems, and in particular, from the viewpoint of a new topological classification theory, which was recently developed for integrable Hamiltonian systems with two degrees of freedom. As a result, we will see that such a new approach is very useful for a deeper understanding of the topology and geometry of integrable geodesic flows. The main object to be studied in our paper is the class of integrable geodesic flows on two-dimensional surfaces. There are many such flows on surfaces of small genus, in particular, on the sphere and torus. On the contrary, on surfaces of genus 9 1, no such flows exist in the analytical case. One of the most important and interesting problems consists in the classification of integrable flows up to different equivalence relations such as (1) an isometry, (2) the Liouville equivalence, (3) the trajectory equivalence (smooth and continuous), and (4) the geodesic equivalence. In recent years, a new technique was developed, which gives, in particular, a possibility to classify integrable geodesic flows up to these kinds of equivalences. This technique is presented in our paper, together with various applications. The first part of our book, namely, Chaps. 340 pp. Englisch. N� de r�f. du vendeur 9780306110658

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Integrable Geodesic Flows on Two-Dimensional Surfaces

A. T. Fomenko

Edit� par Springer US (1999)

ISBN 10 : 0306110652 ISBN 13 : 9780306110658

Neuf Couverture rigide Quantit� disponible : 1

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AHA-BUCH GmbH
(Einbeck, Allemagne)

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Description du livre Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Geodesic flows of Riemannian metrics on manifolds are one of the classical objects in geometry. A particular place among them is occupied by integrable geodesic flows. We consider them in the context of the general theory of integrable Hamiltonian systems, and in particular, from the viewpoint of a new topological classification theory, which was recently developed for integrable Hamiltonian systems with two degrees of freedom. As a result, we will see that such a new approach is very useful for a deeper understanding of the topology and geometry of integrable geodesic flows. The main object to be studied in our paper is the class of integrable geodesic flows on two-dimensional surfaces. There are many such flows on surfaces of small genus, in particular, on the sphere and torus. On the contrary, on surfaces of genus 9 1, no such flows exist in the analytical case. One of the most important and interesting problems consists in the classification of integrable flows up to different equivalence relations such as (1) an isometry, (2) the Liouville equivalence, (3) the trajectory equivalence (smooth and continuous), and (4) the geodesic equivalence. In recent years, a new technique was developed, which gives, in particular, a possibility to classify integrable geodesic flows up to these kinds of equivalences. This technique is presented in our paper, together with various applications. The first part of our book, namely, Chaps. N� de r�f. du vendeur 9780306110658

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