The stationary set of a group action

Stowe, Dennis

doi:10.1090/S0002-9939-1980-0560600-2

The stationary set of a group action
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by Dennis Stowe

Proc. Amer. Math. Soc. 79 (1980), 139-146

DOI: https://doi.org/10.1090/S0002-9939-1980-0560600-2

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Abstract:

If a point is stationary for a differentiable group action, M. Hirsch suggested that the vanishing of the first group cohomology at that point might imply stability of the point under perturbations of the action. This is proved for compactly generated Lie groups. Further implications of the cohomology condition are also proved.

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