This work presents a framework for billiards on convex domains in a two dimensional Riemannian manifold. In this context, some basic properties that have long been known for billiards on the plane such as differentiability ...

Apresentaremos neste trabalho dois teoremas que caracterizam as curvas anal ticas complexas, isto e, os gr a cos de fun c~oes holomorfas ou anti-holomorfas, que mostraremos serem superf cies m nimas em R4. O primeiro ...