S. V. Bolotin, “Integrable billiards on surfaces of constant curvature”, Mat. Zametki, 51:2 (1992), 20–28; Math. Notes, 51:2 (1992), 117

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Matematicheskie Zametki, 1992, Volume 51, Issue 2, Pages 20–28 (Mi mzm4467)

This article is cited in 12 scientific papers (total in 12 papers)

Integrable billiards on surfaces of constant curvature

S. V. Bolotin

M. V. Lomonosov Moscow State University

Full-text PDF (848 kB) Citations (12)

Received: 08.08.1989

English version:
Mathematical Notes, 1992, Volume 51, Issue 2, Pages 117–123
DOI: https://doi.org/10.1007/BF02102114

Bibliographic databases:

Document Type: Article

UDC: 517

Language: Russian

Citation: S. V. Bolotin, “Integrable billiards on surfaces of constant curvature”, Mat. Zametki, 51:2 (1992), 20–28; Math. Notes, 51:2 (1992), 117–123

Citation in format AMSBIB

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\paper Integrable billiards on surfaces of constant curvature

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\yr 1992

\vol 51

\issue 2

\pages 20--28

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\transl

\jour Math. Notes

\yr 1992

\vol 51

\issue 2

\pages 117--123

\crossref{https://doi.org/10.1007/BF02102114}

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Linking options:

https://www.mathnet.ru/eng/mzm4467

https://www.mathnet.ru/eng/mzm/v51/i2/p20

This publication is cited in the following 12 articles:

Alexey Glutsyuk, “On rationally integrable planar dual multibilliards and piecewise smooth projective billiards”, Nonlinearity, 37:6 (2024), 065002
G. V. Belozerov, A. T. Fomenko, “Generalized Jacobi–Chasles theorem in non-Euclidean spaces”, Sb. Math., 215:9 (2024), 1159–1181
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrable systems”, Russian Math. Surveys, 78:5 (2023), 881–954
M. Bialy, A. E. Mironov, “Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane”, Russian Math. Surveys, 74:2 (2019), 187–209
A. A. Glutsyuk, “On Two-Dimensional Polynomially Integrable Billiards on Surfaces of Constant Curvature”, Dokl. Math., 98:1 (2018), 382
A. Glutsyuk, E. Shustin, “On polynomially integrable planar outer billiards and curves with symmetry property”, Math. Ann., 372:3-4 (2018), 1481
Božidar Jovanović, “Billiards on constant curvature spaces and generating functions for systems with constraints”, Theor. Appl. Mech., 44:1 (2017), 103–114
Luciano Coutinho dos Santos, Sônia Pinto-de-Carvalho, “Periodic orbits of oval billiards on surfaces of constant curvature”, Dynamical Systems, 32:2 (2017), 283
Božidar Jovanović, Vladimir Jovanović, “Virtual billiards in pseudo–euclidean spaces: Discrete hamiltonian and contact integrability”, Discrete & Continuous Dynamical Systems - A, 37:10 (2017), 5163
V. V. Kozlov, “Polynomial conservation laws for the Lorentz gas and the Boltzmann–Gibbs gas”, Russian Math. Surveys, 71:2 (2016), 253–290
D. V. Treschev, “On a conjugacy problem in billiard dynamics”, Proc. Steklov Inst. Math., 289 (2015), 291–299
Božidar Jovanović, Vladimir Jovanović, “Geodesic and Billiard Flows on Quadrics in Pseudo-Euclidean Spaces: L–A Pairs and Chasles Theorem”, Int Math Res Notices, 2015:15 (2015), 6618

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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