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arXiv · 1809.09341

On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables

Guan Huang·Vadim Kaloshin
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Abstract

In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table $\Omega_0$ preserving the integrability near the boundary have to be tangent to a finite dimensional space passing through $\Omega_0$.

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Guan Huang, Vadim Kaloshin. 2018-09-25. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. https://arxiv.org/abs/1809.09341

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