A note on C^0 rigidity of Hamiltonian isotopies

Abstract

We show that a symplectic isotopy that is a $C^0$ limit of Hamiltonian isotopies is itself Hamiltonian, if the corresponding sequence of generating Hamiltonians converge in $L^{(1,\infty )}$ topology.

7 pages, to appear in Journal of Symplectic Geometry

References in corpus (1)

• On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows

Cited by in corpus (2)

• The action spectrum and C^0 symplectic topology
• Towards the C^0 flux conjecture