On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
Huang G, Kaloshin V. 2019. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 19(2), 307–327.
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Author
Huang, Guan;
Kaloshin, VadimISTA 
Abstract
In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table Ω0 preserving the integrability near the boundary have to be tangent to a finite dimensional space passing through Ω0.
Publishing Year
Date Published
2019-04-01
Journal Title
Moscow Mathematical Journal
Publisher
American Mathematical Society
Volume
19
Issue
2
Page
307-327
ISSN
IST-REx-ID
Cite this
Huang G, Kaloshin V. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 2019;19(2):307-327. doi:10.17323/1609-4514-2019-19-2-307-327
Huang, G., & Kaloshin, V. (2019). On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. American Mathematical Society. https://doi.org/10.17323/1609-4514-2019-19-2-307-327
Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” Moscow Mathematical Journal. American Mathematical Society, 2019. https://doi.org/10.17323/1609-4514-2019-19-2-307-327.
G. Huang and V. Kaloshin, “On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables,” Moscow Mathematical Journal, vol. 19, no. 2. American Mathematical Society, pp. 307–327, 2019.
Huang G, Kaloshin V. 2019. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 19(2), 307–327.
Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” Moscow Mathematical Journal, vol. 19, no. 2, American Mathematical Society, 2019, pp. 307–27, doi:10.17323/1609-4514-2019-19-2-307-327.
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