## Locally free affine group actions

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- by J. F. Plante PDF
- Trans. Amer. Math. Soc.
**259**(1980), 449-456 Request permission

## Abstract:

Differentiable actions by the nonabelian 2-dimensional Lie group on compact manifolds are considered. When the action is locally free and the orbits have codimension one it is shown that there are at most finitely many minimal sets each containing a countably infinite number of cylindrical orbits. Examples are given to show that various codimension, differentiability, and minimality restrictions are necessary.## References

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*On exceptional minimal sets*(to appear).

## Additional Information

- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**259**(1980), 449-456 - MSC: Primary 57S20
- DOI: https://doi.org/10.1090/S0002-9947-1980-0567090-9
- MathSciNet review: 567090