Research interests:
- Theory of Foliations
- Anosov Actions of IRk
- Problem of global injectivity
Publications:
- On the orbit structure of IRn-actions on n-manifolds. Qualitative Theory Of Dynamical Systems, Espanha, v. 4, n. 59, p. 169-180, 2004 (Joint work with J. L. Arraut).
- Local
structural stability of actions of IRn
on n-manifolds. Boletim da Sociedade Paranaense de
Matemática, v. 24, p. 9-18, 2006 (Joint work with
J. L. Arraut).
- Robustly transitive actions of IR2 on compact three manifolds. Bulletin Brazilian Mathematical Society (Impresso), v. 38 (2), p. 189-201, 2007 (Joint work with Ali Tahzibi).
- Orbit structure of certain IR2-actions on the solid torus. Annales de la Faculté des Sciences de Toulouse, v. 7, p. 593-613, 2008 (Join work with L. Martins).
- Structurally stable singular actions of IR2 having a first integral. Contemporary Mathematics - Ame. Math. Soc. (Print), v. 498, p. 127-134, 2009 (Joint work with J. L. Arraut).
- Foliations and polynomial diffeomorphisms of IR3. Mathematische Zeitschrift, v. 262, p. 613-626, 2009 (Joint work with Carlos Gutierrez).
- On integrable codimension one Anosov actions of IRk. Discrete and Continuous Dynamical Systems, v. 29, p. 803-822, 2011 (Joint work with Thierry Barbot).
- Transitivity of codimension-one Anosov actions of IRk on closed manifolds. Ergodic Theory & Dynamical Systems (Print), v. 31, p. 1-22, 2011 (Joint work with Thierry Barbot).
- A note on open 3-manifolds supporting foliations by planes. Proc. of Amer. Math. Soc. v. 140, 961-969, 2012 (Joint work with Carlos Biasi).
- Compact 3-manifolds supporting some IR2 actions. Contemporary Mathematics - Ame. Math. Soc. v. 569, 77-85, 2012 (Joint work with W. T. Huaraca).