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Poncelet porism in singular cases
Vladimir Dragovic, Milena Radnovic
The celebrated Poncelet porism is usually studied for a pair of smooth conics that are in a general position. Here we discuss Poncelet porism in the real plane - affine or projecti…
math.AG2011★ 47 cited
Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics
Vladimir Dragovic, Milena Radnovic
We study geometry of confocal quadrics in pseudo-Euclidean spaces of an arbitrary dimension and any signature, and related billiard dynamics. The goal is to give a complete des…
math.AG2007★ 2 cited
Hyperelliptic Jacobians as Billiard Algebra of Pencils of Quadrics: Beyond Poncelet Porisms
Vladimir Dragovic, Milena Radnovic
The thirty years old programme of Griffiths and Harris of understanding higher-dimensional analogues of Poncelet-type problems and synthetic approach to higher genera addition theo…