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Billiard in a triangle and quadratic homogeneous foliations on
- Source :
-
Comptes Rendus. Mathématique . Mar2008, Vol. 346 Issue 5/6, p317-322. 6p. - Publication Year :
- 2008
-
Abstract
- 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 . Our technique allows, in particular, to state the existence of real foliations by curves on 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). [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 1631073X
- Volume :
- 346
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 31253010
- Full Text :
- https://doi.org/10.1016/j.crma.2008.01.013