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Comments on the paper “On a geometric theorem” by Henri Poincaré

  • Vladimir I. Arnold
Chapter
Part of the Vladimir I. Arnold - Collected Works book series (ARNOLD, volume 2)

Abstract

Associated with Poincaré’s “geometric theorem”, there is a number of proven and unproven propositions on fixed points of symplectic (or, as called by Poincaré canonical) diffeomorphisms of symplectic manifolds more general than a circular annulus (or in an even more generally, on intersections of so-called Lagrangian submanifolds of a symplectic manifold).

Keywords

Symplectic Manifold Morse Theory Hamiltonian Vector Lagrangian Submanifolds Identity Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Nauka, Moscow 1972

Authors and Affiliations

  • Vladimir I. Arnold
    • 1
  1. 1.HeidelbergGermany

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