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2014 A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold
Dawei Sun, Zhenxing Zhang
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/879196

Abstract

We define a Hofer-type norm for the Hamiltonian map on regular Poisson manifold and prove that it is nondegenerate. We show that the L1,-norm and the L-norm coincide for the Hamiltonian map on closed regular Poisson manifold and give some sufficient conditions for a Hamiltonian path to be a geodesic. The norm between the Hamiltonian map and the induced Hamiltonian map on the quotient of Poisson manifold (M,{·,·}) by a compact Lie group Hamiltonian action is also compared.

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Dawei Sun. Zhenxing Zhang. "A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/879196

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010786
MathSciNet: MR3191140
Digital Object Identifier: 10.1155/2014/879196

Rights: Copyright © 2014 Hindawi

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