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Partially hyperbolic fixed points with constraints
Author(s):
Patrick
Bonckaert
Journal:
Trans. Amer. Math. Soc.
348
(1996),
997-1011.
MSC (1991):
Primary 58F14, 58F36, 34C20
MathSciNet review:
1321568
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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.
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Additional Information:
Patrick
Bonckaert
Affiliation:
Limburgs Universitair Centrum, B-3590 Diepenbeek, Belgium
Email:
pbonckae@luc.ac.be
DOI:
10.1090/S0002-9947-96-01469-9
PII:
S 0002-9947(96)01469-9
Keywords:
Partially hyperbolic fixed point,
normal form,
constraint,
structure preserving
Received by editor(s):
March 8, 1994
Copyright of article:
Copyright
1996,
American Mathematical Society
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