23 citations · 70 across the 9 of their papers we have counts for
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math.DS2012★ 8 cited
On Cayley conditions for billiards inside ellipsoids
Rafael Ramirez-Ros
All the segments (or their continuations) of a billiard trajectory inside an ellipsoid of $\Rset^n$ are tangent to n-1 quadrics of the pencil of confocal quadrics determined by the…
math.DS2012★ 10 cited
Classification of symmetric periodic trajectories in ellipsoidal billiards
Pablo S. Casas, Rafael Ramírez-Ros
We classify nonsingular symmetric periodic trajectories (SPTs) of billiards inside ellipsoids of R^{n+1} without any symmetry of revolution. SPTs are defined as periodic trajectori…