 1414 Gerard P. Barbanson
 Whitney Regularity of the Image of the Chevalley Mapping
(43K, AMS  LaTeX)
Mar 17, 14

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. A closed set $F$ is Whitney 1regular if for each compact $K\subset F$,
the geodesic distance in $K$ is equivalent to the Euclidean distance.
Let $P$ be the Chevalley map defined by an integrity basis of
the algebra of polynomials invariant by a reflection group, this note
gives the Whitney regularity of the image $P({\mathbb R}^n)$.
The proof uses ideas in [1], [3], [7] and [8] and needs a generalization
to the Jacobian of the Chevalley mappings of a property of Van der Monde determinants.
 Files:
1414.src(
1414.comments ,
1414.keywords ,
essai.tex )