Billiards Within Ellipsoids in the $$4$$ -Dimensional Pseudo-Euclidean Spaces

[1]  V. Dragović,et al.  Periodic Trajectories of Ellipsoidal Billiards in the 3-Dimensional Minkowski Space , 2019, Springer Proceedings in Mathematics & Statistics.

[2]  V. Dragović,et al.  Periodic Billiards Within Conics in the Minkowski Plane and Akhiezer Polynomials , 2019, Regular and Chaotic Dynamics.

[3]  V. Dragović,et al.  Caustics of Poncelet Polygons and Classical Extremal Polynomials , 2018, Regular and Chaotic Dynamics.

[4]  V. Dragović,et al.  Periodic Ellipsoidal Billiard Trajectories and Extremal Polynomials , 2018, Communications in Mathematical Physics.

[5]  V. Dragović,et al.  Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics , 2011, 1108.4552.

[6]  Milena Radnović,et al.  Poncelet Porisms and Beyond: Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics , 2011 .

[7]  V. Dragović,et al.  Hyperelliptic Jacobians as Billiard Algebra of Pencils of Quadrics: Beyond Poncelet Porisms , 2007, 0710.3656.

[8]  S. Tabachnikov,et al.  Geodesics on an ellipsoid in Minkowski space , 2007, 0705.0188.

[9]  S. Tabachnikov,et al.  Pseudo-Riemannian geodesics and billiards , 2006, math/0608620.

[10]  V. Dragović,et al.  Cayley-type conditions for billiards within k quadrics in Bbb Rd , 2005, math-ph/0503053.

[11]  V. V. Kozlov,et al.  Billiards: A Genetic Introduction to the Dynamics of Systems with Impacts , 1991 .

[12]  V. Dragović,et al.  Elliptical Billiards in the Minkowski Plane and Extremal Polynomials , 2019, Nelineinaya Dinamika.

[13]  V. Dragović,et al.  Poncelet Porisms and Beyond , 2011 .

[14]  Zhang Kai,et al.  Full Poncelet Theorem in Minkowski dS and AdS Spaces , 2009 .

[15]  Serge Tabachnikov,et al.  Geometry and billiards , 2005 .

[16]  Garrett Birkhoff,et al.  Confocal Conics in Space-Time , 1962 .