nLab
Hofer's geometry

Contents

Contents

Idea

Hofer’s metric is a Riemannian metric on the group of Hamiltonian diffeomorphisms of a symplectic manifold. This group is infinite-dimensional, so that the existence of this metric is nontrivial, due noncompactness.

Hofer’s geometry is now a classical subject in symplectic geometry.

References

Last revised on April 7, 2021 at 01:27:16. See the history of this page for a list of all contributions to it.