Stability of closed characteristics on compact hypersurfaces in $\R^{2n}$ under pinching condition

Details Stability of closed characteristics on compact hypersurfaces in $\R^{2n}$ under pinching condition Stability of closed characteristics on compact hypersurfaces in $\R^{2n}$ under pinching condition

2008-11-29

arxiv.org/abs/0812.0049v1

Mathematics

Symplectic Geometry

18 pages

Scientific paper

In this article, let $\Sigma\subset\R^{2n}$ be a compact convex hypersurface
which is $(r, R)$-pinched with $\frac{R}{r}<\sqrt{{3/2}}$. Then $\Sg$ carries
at least two strictly elliptic closed characteristics; moreover, $\Sg$ carries
at least $2[\frac{n+2}{4}]$ non-hyperbolic closed characteristics.

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