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arXiv · 2209.06325

Convex bodies with all characteristics planar

Roman Karasev·Anastasiia Sharipova
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Abstract

We show that smooth and strongly convex bodies in the symplectic $\mathbb R^{2n}$ for $n>1$ with all characteristics planar, or all outer billiard trajectories planar are affine symplectic images of balls.

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Roman Karasev, Anastasiia Sharipova. 2022-09-13. Convex bodies with all characteristics planar. https://doi.org/10.1093/imrn%2Frnad111

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