Contact Billiards and Dissipative Billiards

Determine whether contact billiards can provide a geometric framework for understanding conventional dissipative billiards through suitable projections or contactifications.

Background

Contact geometry naturally accommodates dissipative dynamics, while standard dissipative billiards are often modeled by conformally symplectic transformations. The paper suggests that these systems might arise as projections of contact billiards but leaves the relationship unresolved.