Length minimizing paths in the Hamiltonian diffeomorphism group
辛几何
2011-08-02 v2
摘要
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 topology. The construction utilizes a continuation argument and chain level result in the Floer theory of Lagrangian intersections.
引用
@article{arxiv.math/0703738,
title = {Length minimizing paths in the Hamiltonian diffeomorphism group},
author = {Peter Spaeth},
journal= {arXiv preprint arXiv:math/0703738},
year = {2011}
}
备注
27 pages