Equivariant Deformations of Manifolds and Real Representations
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چکیده
In the paper we give a partial answer to the following question: let G be a finite group acting smoothly on a compact (smooth) manifold M , such that for each isotropy subgroup H of G the submanifold M fixed by H can be deformed without fixed points; is it true that then M can be deformed without fixed points G-equivariantly? The answer is no, in general. It is yes, for any G-manifold, if and only if G is the direct product of a 2-group and an odd-order group.
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تاریخ انتشار 2000