Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606611 | Differential Geometry and its Applications | 2009 | 10 Pages |
Abstract
Let M be a connected real analytic manifold. We denote by Diffsubr(M)0, 1⩽r<∞1⩽r<∞, the group of subanalytic CrCr diffeomorphisms of M which are isotopic to the identity via a compactly supported subanalytic CrCr isotopy. We show that Diffsubr(M)0 satisfies Epstein's axioms. This implies that the commutator subgroup of Diffsubr(M)0 is simple. Moreover, we show that the commutator subgroup of Diffsubr(M)0 is dense in Diffsubr(M)0. As a corollary we obtain that Diffsubr(M)0 is topologically simple.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Marja Kankaanrinta,