A class of new bi-invariant metrics on the Hamiltonian diffeomorphism groups
Symplectic Geometry
2014-06-24 v1
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.
Keywords
Cite
@article{arxiv.1406.5878,
title = {A class of new bi-invariant metrics on the Hamiltonian diffeomorphism groups},
author = {Guangcun Lu and Tie Sun},
journal= {arXiv preprint arXiv:1406.5878},
year = {2014}
}
Comments
Latex, 29 pages