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

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dc.creatorWang, Wei
dc.date2008-11-29
dc.date.accessioned2026-07-07T12:08:06Z
dc.date.available2026-07-07T12:08:06Z
dc.descriptionIn this article, let $Σ\subset\R^{2n}$ be a compact convex hypersurface which is symmetric with respect to the origin. We prove that if $\Sg$ carries finitely many geometrically distinct closed characteristics, then at least $n-1$ of them must be non-hyperbolic; if $\Sg$ carries exactly $n$ geometrically distinct closed characteristics, then at least two of them must be elliptic.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0812.0041
dc.identifierhttp://arxiv.org/abs/0812.0041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209200
dc.subjectSymplectic Geometry
dc.subject58E05, 37J45, 37C75
dc.titleStability of closed characteristics on symmetric compact convex hypersurfaces in $\R^{2n}$
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