For a compact, smooth C orbifold (without boundary), we show that the topological structure of the orbifold difFeomorphism group is a Banach manifold for 1 < r < oo and a Frechet manifold if r = oo. In each case, the local model is the separable Banach (Frechet) space of C(Co0)resp.) orbisections of the tangent orbibundle. Mathematics Subject Classification 2000: Primary 57S05, 22F50, 54H99; Secondary 22E65.
|Original language||English (US)|
|Number of pages||29|
|Journal||Journal of Lie Theory|
|State||Published - Dec 1 2008|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory