Open Access
Translator Disclaimer
June 2008 Length minimizing paths in the Hamiltonian diffeomorphism group
Peter W. Spaeth
J. Symplectic Geom. 6(2): 159-187 (June 2008).

Abstract

On any closed symplectic manifold, we construct a path-connected neighborhood of the identity in the Hamiltonian diffeomorphism group with the property that each Hamiltonian diffeomorphism in this neighborhood admits a Hofer and spectral length minimizing path to the identity. This neighborhood is open in the $C^1$-topology. The construction utilizes a continuation argument and chain level result in the Floer theory of Lagrangian intersections.

Citation

Download Citation

Peter W. Spaeth. "Length minimizing paths in the Hamiltonian diffeomorphism group." J. Symplectic Geom. 6 (2) 159 - 187, June 2008.

Information

Published: June 2008
First available in Project Euclid: 27 August 2008

zbMATH: 1151.53072
MathSciNet: MR2434439

Rights: Copyright © 2008 International Press of Boston

JOURNAL ARTICLE
29 PAGES


SHARE
Vol.6 • No. 2 • June 2008
Back to Top