Ivan Izmestiev

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20012025

most citedInfinitesimal rigidity of convex surfaces through the second derivative of the Hilbert-Einstein functional I: Polyhedral case

5 citations · 16 across the 12 of their papers we have counts for

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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.DS2018

Cross-ratio dynamics on ideal polygons

Maxim Arnold, Dmitry Fuchs, Ivan Izmestiev +1

Two ideal polygons, $(p_{1}, \dots, p_{n})$ and $(q_{1}, \dots, q_{n})$ , in the hyperbolic plane or in hyperbolic space are said to be $α$ -related if the cross-ratio $[p_i,p_{i+1},q_i,q_{i+1…