Computations of hamiltonian homeomorphisms under symplectic reduction in the new sense

摘要

This paper studies the extended Hofer norm of hamiltonian homeomorphisms on the symplectic quotient by a compact Lie group. The hamiltonian property is proved for the maps under the symplectic reduction, and the relation between the hamiltonian homeomorphism's extended Hofer norm and the induced one is also shown in the new sense.