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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…
math.DG2006
On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards
D. Genin, S. Tabachnikov
Following a recent paper by Baryshnikov and Zharnitskii, we consider outer billiards in the plane possessing invariant curves consisting of periodic orbits. We prove the existence…