A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Sun, Dawei& Zhang, Zhenxing. 2014. A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-505629
Modern Language Association (MLA)
Sun, Dawei& Zhang, Zhenxing. A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-505629
American Medical Association (AMA)
Sun, Dawei& Zhang, Zhenxing. A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-505629
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505629