Journal of Symplectic Geometry

Degenerate maxima in Hamiltonian systems

Mike Chance

Full-text: Open access

Abstract

In this paper, we explore loops of non-autonomous Hamiltonian diffeomorphisms with degenerate fixed maxima. We show that such loops can not have totally degenerate fixed global maxima. This has applications for the Hofer geometry of the group of Hamiltonians for certain symplectic four manifolds and also gives criteria for certain four manifolds to be uniruled.

Article information

Source
J. Symplectic Geom., Volume 10, Number 1 (2012), 1-16.

Dates
First available in Project Euclid: 27 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.jsg/1332853047

Mathematical Reviews number (MathSciNet)
MR2904030

Zentralblatt MATH identifier
1243.53122

Citation

Chance, Mike. Degenerate maxima in Hamiltonian systems. J. Symplectic Geom. 10 (2012), no. 1, 1--16. https://projecteuclid.org/euclid.jsg/1332853047


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