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Remarks on a Paper of Hermann
1968
Transactions of the American Mathematical Society
Let G be a Lie group acting differentiably on a manifold and let p be a point left fixed by G. If G is compact, a well-known result of H. Cartan asserts that the action of G in a neighborhood of p is equivalent to the linear action of G on the tangent space at p, cf. [4]. Palais and Smale have suggested extending this theorem to noncompact Lie groups. Hermann, in the preceding paper has shown that the corresponding formal problem can be reduced to a cohomology question which can always be
doi:10.2307/1994774
fatcat:4zhb6cc6sbc77ivhlytdkte6i4