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math.DS2019
Four equivalent properties of integrable billiards
Alexei Glutsyuk, Ivan Izmestiev, Serge Tabachnikov
By a classical result of Darboux, a foliation of a Riemannian surface has the Graves property (also known as the strong evolution property) if and only if the foliation comes from…
math.MG2019
The Regge symmetry, confocal conics, and the Schläfli formula
Arseniy Akopyan, Ivan Izmestiev
The Regge symmetry is a set of remarkable relations between two tetrahedra whose edge lengths are related in a simple fashion. It was first discovered as a consequence of an asympt…