Convex bodies with all characteristics planar
Symplectic Geometry
2023-05-09 v3 Metric Geometry
Abstract
We show that smooth and strongly convex bodies in the symplectic for with all characteristics planar, or all outer billiard trajectories planar are affine symplectic images of balls.
Keywords
Cite
@article{arxiv.2209.06325,
title = {Convex bodies with all characteristics planar},
author = {Roman Karasev and Anastasiia Sharipova},
journal= {arXiv preprint arXiv:2209.06325},
year = {2023}
}
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11 pages