This article is cited in 3 papers

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

Guan Huang^a, Vadim Kaloshin<sup>b

a</sup> Yau Mathematical Sciences Center, Tsinghua University, Beijing, China
^b Department of Mathematics, University of Maryland, College Park, MD, USA

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 $\Omega_0$.

Key words and phrases: convex billiards, integrable billiards, caustics.

MSC: 37E40, 37E45, 28D10

DOI: 10.17323/1609-4514-2019-19-2-307-327

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