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math.DG2025
On cusps of caustics by reflection in two dimensional projective Finsler metrics
Serge Tabachnikov
A Finsler, not necessarily symmetric, metric in the plane or its convex subset is called projective if its geodesics are straight segments. We consider Finsler billiards in a conve…
math.DG2024
Cusps of caustics by reflection in ellipses
Gil Bor, Mark Spivakovsky, Serge Tabachnikov
This paper is concerned with the billiard version of Jacobi's last geometric statement and its generalizations. Given a non-focal point inside an elliptic billiard table, one c…