A Contact Camel Theorem

Author:

Allais Simon1

Affiliation:

1. École Normale Supérieure de Lyon, UMPA 46 allée d’Italie, 69364 Lyon Cedex 07, France

Abstract

Abstract We provide a contact analogue of the symplectic camel theorem that holds in $\mathbb {R}^{2n}\times S^1$ and generalizes the symplectic camel. Our proof is based on the generating function techniques introduced by Viterbo, extended to the contact case by Bhupal and Sandon, and builds on Viterbo’s proof of the symplectic camel.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference23 articles.

1. Progress in Mathematics;Aebischer,2013

2. A partial order on the group of contactomorphisms of $\mathbb R^{2n+1}$ via generating functions;Bhupal;Turkish J. Math.,2001

3. Middle dimensional symplectic rigidity and its effect on Hamiltonian PDEs;Bustillo;Comment. Math. Helv.

4. On Generating Families;Chaperon,1995

5. Critical points of quasifunctions, and generating families of Legendrian manifolds;Chekanov;Funktsional. Anal. i Prilozhen.,1996

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