Energy Estimates of Strictly Contact Homeomorphisms in Contact Dynamical System

Article Preview

Abstract:

This paper studies the reductions and properties of strictly contact diffeomorphisms in contact dynamical system. By constructing new norms and using some estimate techniques, this paper proves that the induced homeomorphism of contact homeomorphism is Hamiltonian, and computes the norm of such homeomorphism under reduction in contact dynamical system.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

4552-4555

Citation:

Online since:

October 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] A. Banyaga, P. Donato: Ann. Global Anal. Geom vol. 30(2006), pp.299-312

Google Scholar

[2] A. Banyaga, P.W. Spaeth: Information on http://arxiv.org/abs/0812.2461

Google Scholar

[3] A. Banyaga: Topology and Geometry, Ens. Math vol.26 (1979), pp.47-53.

Google Scholar

[4] H. Hofer, E. Zehnder: Symplectic Invariants and Hamiltonian Dynamics. (Berlin: Birkhauser Verlag, Basel. Boston, 1994)

Google Scholar

[5] D. McDuff: Ann of Math Vol 141(1995), pp.349-371

Google Scholar

[6] C. Viterbo: Int Math Res Not Vol (2006), pp.349-371

Google Scholar

[7] A. Pedroza: Diff Geom And Its Appl vol.26 (2008), pp.503-508.

Google Scholar

[8] Y. G. Oh, : J Symp Geom Vol 5(2007), pp.167-220

Google Scholar

[9] L.Polterovich: The geometry of the Group of Symplectic Diffeomorphism. (Berlin: Birkhauser Verlag, Basel. Boston, 2001)

Google Scholar