Abstract
This Note is partly an announcement. We describe the geodesic foliation of the translation surface associated to a triangular billiard in terms of real and holomorphic foliations defined by quadratic homogeneous vector fields on C 2 . Our technique allows, in particular, to state the existence of real foliations by curves on C 2 arising from homogeneous quadratic vector fields and having a dense set of periodic orbits. To cite this article: F. Valdez, C. R. Acad. Sci. Paris, Ser. I 346 (2008).
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