Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The second Birkhoff theorem for optical Hamiltonian systems
HTML articles powered by AMS MathViewer

by Leonid Polterovich PDF
Proc. Amer. Math. Soc. 113 (1991), 513-516 Request permission

Abstract:

Consider a smooth Hamiltonian function on the cotangent bundle of the $n$-dimensional torus such that its restriction on every fiber is strictly convex. Let $L$ be a Lagrange invariant torus of the Hamiltonian flow which is homologous to the zero section. We show that, under some assumptions, $L$ is a smooth section of the cotangent bundle.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58F05, 53C22, 58F17
  • Retrieve articles in all journals with MSC: 58F05, 53C22, 58F17
Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 113 (1991), 513-516
  • MSC: Primary 58F05; Secondary 53C22, 58F17
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1043418-3
  • MathSciNet review: 1043418