A class of new bi-invariant metrics on the Hamiltonian diffeomorphism groups

Abstract

In this paper, we construct infinitely many bi-invariant metrics on the Hamiltonian diffeomorphism group and study their basic properties and corresponding generalizations of the Hofer inequality and Sikorav one.

Latex, 29 pages

References in corpus (2)

• When symplectic topology meets Banach space geometry
• Quasi-morphisms and quasi-states in symplectic topology