Multiplicity of closed characteristics on symmetric convex hypersurfaces in $\R^{2n}$

Details Multiplicity of closed characteristics on symmetric convex hypersurfaces in $\R^{2n}$ Multiplicity of closed characteristics on symmetric convex hypersurfaces in $\R^{2n}$

2001-09-23

arxiv.org/abs/math/0109171v1

Mathematics

Dynamical Systems

16 pages

Scientific paper

Let $\Sigma$ be a compact $C^2$ hypersurface in $\R^{2n}$ bounding a convex
set with non-empty interior. In this paper it is proved that there always exist
at least $n$ geometrically distinct closed characteristics on $\Sigma$ if
$\Sigma$ is symmetric with respect to the origin.

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