Bolsinov, Fomenko. Integrable Hamiltonian systems (CRC, 2004)(724s)_PD_.pdf

INTEGRABLE HAMILTONIAN

SYSTEMS

Geometry, Topology, Classification

A. V. Bolsinov and A. T. Fomenko

CHAPMAN & HALL/CRC

A CRC Press Company

Boca Raton London New York Washington, D.C.

INTEGRABLE HAMILTONIAN

SYSTEMS

Geometry, Topology, Classification

Library of Congress Cataloging-in-Publication Data

Bolsinov, A. V. (Aleksei Viktorovich)

[Integriruemye gamil'tonovy sistemy. English]

Integrable Hamiltonian systems : geometry, topology, classiÝcation / by A.V. Bolsinov,

A.T. Fomenko.

p. cm.

Includes bibliographical references and index.

ISBN 0-415-29805-9 (alk. paper)

1. Hamiltonian systems. 2. Geodesic Þows. 3. Geodesics (Mathematics) I. Fomenko, A.

T. II. Title.

QA614.83.B6413 2004

515

.39Ðdc22

2003067457

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2.4.1. The Case of Minimum and Maximum. The Atom A

2.7.5. Oriented Atoms and Subgroups in the Group Z Z

2.8.2. The Universal Covering Tree over f -Graphs. An f -Graph as

in Z Z

2.8.4. The Graph J of the Symmetry Group of an f -Graph.

Section 4.3. Invariants (Numerical Marks) r , " , and n

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