|
This article is cited in 1 scientific paper (total in 1 paper)
On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
Guan Huanga, Vadim Kaloshinb
a 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.
Citation:
Guan Huang, Vadim Kaloshin, “On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables”, Mosc. Math. J., 19:2 (2019), 307–327
Linking options:
https://www.mathnet.ru/eng/mmj736 https://www.mathnet.ru/eng/mmj/v19/i2/p307
|
| Statistics & downloads: |
| Abstract page: | 179 | | References: | 44 |
|
Citation in format AMSBIB
Contact us: