Geometry and billiards

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A curvature theory for discrete surfaces based on mesh parallelity (2009, background): “lie on an ellipse E′ confocal with E, then it is a classical reflection billiard in the ellipse E′ (see for example [23]).”
Billiards in ellipses revisited (2020, neutral): “See [16] for more details.”
Dan Reznik’s identities and more (2020, background): “The billiard in ellipse is integrable, and the conserved quantity, called the Joachimsthal integral, is, in the above notation, |N | sin δ (see [10] or [3]).”
Bounds for Minkowski Billiard Trajectories in Convex Bodies (2011, background): “rries over verbatim, including the equality case, to the class Ke2n. 2.4 Minkowski billiards The general study of billiard dynamics in Finsler and Minkowski geometries was initiated in [20] (see also [40]). We remark that from the point of view of geometric optics, Minkowski billiard trajectories de”
An integrable deformation of an ellipse of small eccentricity is an ellipse (2014, background): “(See, e.g., [21, Cor. 4.5] for the general statement and [10, Prop.”
On the local Birkhoff conjecture for convex billiards (2016, background): “We refer to [45, 48, 49] for a more comprehensive introduction to the study of billiards.”