Symplectic geometry

A.T. Fomenko ; translated from the Russian by R.S. Wadhwa

This text reflects the recent growth of interest in the study and application of symplectic geometry. It opens with an elementary section for students which describes the present state of symplectic geometry and topology. Subsequent chapters intended for the more advanced reader follow. It also includes recent developments and discusses the theory of topological classification of integrable Hamiltonian systems of differential equations with two degrees of freedom having nondegenerate integrals of motion.

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[目次]

  • Symplectic geometry in euclidean space
  • symplectic geometry on smooth manifolds
  • Hamiltonian systems with symmetries on symplectic manifolds
  • geodesic flows on two-dimensional Riemann surfaces
  • effective methods of constructing completely integrable systems on lie algebras
  • a brief review of the theory of topological classifications of integrable nondegenerate Hamiltonian equations with two degrees of freedom.

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この本の情報

書名 Symplectic geometry
著作者等 Fomenko, Anatoliĭ Timofeevich
Wadhwa, R. S.
Fomenko A. T.
書名別名 Simplekticheskai︠a︡ geometrii︠a︡

Симплектическая геометрия
シリーズ名 Advanced studies in contemporary mathematics
出版元 Gordon and Breach
刊行年月 1995
版表示 2nd ed
ページ数 xv, 467 p.
大きさ 24 cm
ISBN 2881249019
NCID BA27330939
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言語 英語
原文言語 ロシア語
出版国 アメリカ合衆国
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