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Decomposition theorems for groups of diffeomorphisms in the sphere
Author(s):
R.
de la Llave;
R.
Obaya
Journal:
Trans. Amer. Math. Soc.
352
(2000),
1005-1020.
MSC (1991):
Primary 58D05, 57S25, 57S05
Posted:
May 20, 1999
MathSciNet review:
1608297
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Abstract:
We study the algebraic structure of several groups of differentiable diffeomorphisms in  . We show that any given sufficiently smooth diffeomorphism can be written as the composition of a finite number of diffeomorphisms which are symmetric under reflection, essentially one-dimensional and about as differentiable as the given one.
References:
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Additional Information:
R.
de la Llave
Affiliation:
Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
Email:
llave@math.utexas.edu
R.
Obaya
Affiliation:
Departamento Matemática Aplicada a la Ingeniería, Escuela Superior de Ingenieros Industriales, Universidad de Valladolid, 47011 Valladolid, Spain
Email:
rafoba@wmatem.eis.uva.es
DOI:
10.1090/S0002-9947-99-02320-X
PII:
S 0002-9947(99)02320-X
Keywords:
Decomposition theorems,
diffeomorphism groups
Received by editor(s):
October 24, 1997
Posted:
May 20, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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