A survey on polynomial in momenta integrals for billiard problems, Philos. Trans. Roy. Soc. A, vol.376, issue.2131, p.pp, 2018. ,
Eine Verallgemeinerung der Theorie der konfokalen F 2, Math. Z, vol.27, pp.653-668, 1928. ,
Einführung in die Differentialgeometrie, 1950. ,
Billiard systems on quadric surfaces and the Poncelet theorem, J. Math. Phys, vol.30, pp.798-804, 1989. ,
Chaotic billiards, Amer. Math. Soc, 2006. ,
Leçons sur la Théorie générale des Surfaces et les Applications géométriques du Calcul infinitésimal. Troisiéme partie, p.1894 ,
Poncelet porisms and beyond, 2011. ,
, On curves with Poritsky property
URL : https://hal.archives-ouvertes.fr/ensl-02374972
Geometry and the imagination, 1952. ,
Ivory's Theorem revisited, J. Integrable Systems, vol.2, pp.1-36, 2017. ,
On the integrability of Birkhoff billiards, Philos. Trans. Roy. Soc. A, vol.376, issue.2131, p.pp, 2018. ,
Two classes of Riemannian manifolds whose geodesic flows are integrable, Mem. Amer. Math. Soc, vol.130, issue.619, 1997. ,
A Genetic Introduction to the Dynamics of Systems with Impacts, 1991. ,
Invariant characterization of Liouville metrics and polynomial integrals, J. Geom. Phys, vol.58, issue.8, pp.979-995, 2008. ,
The existence of caustics for a billiard problem in a convex domain, Math. USSR Izvestija, vol.7, pp.185-214, 1973. ,
The Poncelet grid and billiards in ellipses, Amer. Math. Monthly, vol.114, pp.895-908, 2007. ,
Equivalence of glancing hypersurfaces, Invent. Math, vol.37, pp.165-192, 1976. ,
Liouville billiard tables and an inverse spectral result. Ergodic Theory Dynam, Systems, vol.23, pp.225-248, 2003. ,
Discrete analog of the projective equivalence and integrable billiard tables. Ergodic Theory Dynam, Systems, vol.28, pp.1657-1684, 2008. ,
On the integral geometry of Liouville billiard tables, Comm. Math. Phys, vol.303, pp.721-759, 2011. ,
The billiard ball problem on a table with a convex boundary -an illustrative dynamical problem, Ann. of Math, vol.51, pp.446-470, 1950. ,
, Billiards. Panor. Synth, issue.1, 1995.
Geometry and billiards, 2005. ,
Integrabilität beim geodätischen Fluß, Beiträge zur Differentialgeometrie, vol.103, 1978. ,
Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space, J. Geom. Phys, vol.7, pp.81-107, 1990. ,
Complex geometry of the billiard on the ellipsoid and quasicrystallic curves, Seminar on Dynamical Systems, vol.12, pp.277-283, 1991. ,
Integrable mappings, Russian Math. Surveys, vol.46, pp.1-51, 1991. ,
Über die bedingt-periodische Bewegung eines Massenpunktes, Math. Annalen, vol.91, pp.279-299, 1924. ,
Orthogonalsysteme, in denen Ivorys Theorem gilt, Abh. Math. Sem. Univ. Hamburg, vol.5, pp.313-336, 1927. ,