On Anosov energy levels of convex Hamiltonian systems
type: Item
instance of: scholarly article
title: On Anosov energy levels of convex Hamiltonian systems
zbMATH Open document ID: 0820.58022
DOI: 10.1007/BF02571949
author: Gabriel P. Paternain
author: Miguel Paternain
published in: Mathematische Zeitschrift
publication date: 1995-09-17T00:00:00Z
full work available at URL: https://eudml.org/doc/174695
review text: The authors treat the Anosov energy level of convex Hamiltonian and conclude that Anosov energy levels can only arise at high energy levels not containing conjugate points. The authors note that if the Hamiltonian is of the form of a kinetic plus potential energy an Anosova energy level is equivalent to an Anosov geodesic flow of the associated Maupertuis metric corresponding to the fixed energy level.
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 737168
zbMATH Keywords: Anosov energy level
zbMATH Keywords: convex Hamiltonian
zbMATH Keywords: Maupertuis metric
reviewed by: Yoshihide Kozai
MaRDI profile type: Publication
cites work: Hamiltonian diffeomorphisms and Lagrangian distributions
cites work: On the Morse index in variational calculus
cites work: Q4039743
cites work: Riemannian manifolds with geodesic flow of Anosov type
cites work: Closed orbits and converse KAM theory
cites work: Q5288288
cites work: Q3140483
cites work: Asymptotic cycles
OpenAlex ID: W1964758918
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description: scientific article; zbMATH DE number 737168