47 citations · 313 across the 74 of their papers we have counts for
4 papers · 1 filter
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.
A proof of Culter's theorem on the existence of periodic orbits in polygonal outer billiards
Serge Tabachnikov
We discuss a recent result by C. Culter: every polygonal outer billiard has a periodic trajectory.
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…
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…