activity
19952023
most citedOpen Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems

47 citations · 313 across the 74 of their papers we have counts for

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Showing 2007 · math.DGShow all

3 papers · 2 filters

math.DG2007

Self-dual polygons and self-dual curves

Dmitry Fuchs, Serge Tabachnikov

We study projectively self-dual polygons and curves in the projective plane. Our results provide a partial answer to problem No 1994-17 in the book of Arnold's problems.

math.DG2007

Birkhoff billiards are insecure

Serge Tabachnikov

We prove that every compact plane billiard, bounded by a smooth curve, is insecure: there exist pairs of points such that no finite set of points can block all billiard traje…

math.DG2007★ 33 cited

Geodesics on an ellipsoid in Minkowski space

D. Genin, B. Khesin, S. Tabachnikov

We describe the geometry of geodesics on a Lorentz ellipsoid: give explicit formulas for the first integrals (pseudo-confocal coordinates), curvature, geodesically equivalent Riema…