2016/05/20 by Scot Adams, Adams, Scot
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Algebraic Geometry and Number Theory #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1605.06527
Let a real Lie group G act on a C^∞ real manifold M. Assume that the action is C^∞ and that every nontrivial element of G has a nowhere dense fixpoint set in M. We show that, in~some higher order frame bundle F of M, there exists a G-invariant meager subset Z of F such that the G-action on F\backslash Z is free. A similar result holds for submanifold jet bundles.