Hokkaido Mathematical Journal
- Hokkaido Math. J.
- Volume 39, Number 1 (2010), 57-66.
On closed manifolds which admit codimension one locally free actions of nilpotent Lie groups
We show that if a connected closed orientable manifold $M$ admits a codimension one locally free smooth action $\phi$ of a connected nilpotent Lie group such that any orbit of $\phi$ is non-compact, then $M$ is homeomorphic to a nilmanifold. And as an example of such an action, we study also a homogeneous action.
Hokkaido Math. J., Volume 39, Number 1 (2010), 57-66.
First available in Project Euclid: 19 May 2010
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 37C85: Dynamics of group actions other than Z and R, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx]
Secondary: 57R30: Foliations; geometric theory 57S20: Noncompact Lie groups of transformations
MORIYAMA, Yo-ichi. On closed manifolds which admit codimension one locally free actions of nilpotent Lie groups. Hokkaido Math. J. 39 (2010), no. 1, 57--66. doi:10.14492/hokmj/1274275019. https://projecteuclid.org/euclid.hokmj/1274275019