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).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1972 Nauka, Moscow
About this chapter
Cite this chapter
Arnold, V.I. (1972). Comments on the paper “On a geometric theorem” by Henri Poincaré. In: Givental, A., Khesin, B., Varchenko, A., Vassiliev, V., Viro, O. (eds) Vladimir I. Arnold - Collected Works. Vladimir I. Arnold - Collected Works, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31031-7_45
Download citation
DOI: https://doi.org/10.1007/978-3-642-31031-7_45
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31030-0
Online ISBN: 978-3-642-31031-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)