Mladenov, Ivaïlo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2–10, 2005. Sofia: Bulgarian Academy of Sciences (ISBN 954-8495-30-9/pbk). 35-54 (2006).
The aim of this note is to introduce the techniques of exterior differential systems in the context of a problem in billiards. The author generally works in the real analytic category, although all the nonexistence results discussed in the paper imply nonexistence of smooth solutions.
|58A15||Exterior differential systems (Cartan theory)|
|35P05||General topics in linear spectral theory of PDE|
|37D50||Hyperbolic systems with singularities (billiards, etc.)|
|37J99||Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems|