- 98-10 R. de la Llave, R. Obaya
- Decomposition theorems for groups of diffeomorphisms
in the sphere
(57K, Latex 2.09)
Jan 8, 98
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Abstract. We study the algebraic structure of several
groups of differentiable diffeomorphism
in $\sphere^n$.
We show that given any 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.
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98-10.tex