## Structural stability and group cohomology

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- by Philip J. Fleming
- Trans. Amer. Math. Soc.
**275**(1983), 791-809 - DOI: https://doi.org/10.1090/S0002-9947-1983-0682733-X
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## Abstract:

We prove a version of the theorem of Stowe concerning the stability of stationary points of a differentiable group action which is valid on Hilbert manifolds. This result is then used to show that the vanishing of certain cohomology groups is sufficient to guarantee structural semistability for a differentiable action of a group of finite type on a closed smooth manifold. We then apply this to groups of diffeomorphisms of the circle.## References

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## Bibliographic Information

- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**275**(1983), 791-809 - MSC: Primary 58F10; Secondary 58B99, 58D05, 58F09
- DOI: https://doi.org/10.1090/S0002-9947-1983-0682733-X
- MathSciNet review: 682733