Partially hyperbolic fixed points with constraints
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- by Patrick Bonckaert PDF
- Trans. Amer. Math. Soc. 348 (1996), 997-1011 Request permission
Abstract:
We investigate the local conjugacy, at a partially hyperbolic fixed point, of a diffeomorphism (vector field) to its normally linear part in the presence of constraints, where the change of variables also must satisfy the constraints. The main result is applied to vector fields respecting a singular foliation, encountered, by F. Dumortier and R. Roussarie, in the desingularization of families of vector fields.References
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Additional Information
- Patrick Bonckaert
- Affiliation: Limburgs Universitair Centrum, B-3590 Diepenbeek, Belgium
- Email: pbonckae@luc.ac.be
- Received by editor(s): March 8, 1994
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 997-1011
- MSC (1991): Primary 58F14, 58F36, 34C20
- DOI: https://doi.org/10.1090/S0002-9947-96-01469-9
- MathSciNet review: 1321568