Codimension one locally free actions of solvable Lie groups

Yamakawa, Aiko; Tsuchiya, Nobuo

Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 241-263 / Harvested from Project Euclid

Résumé

Let $G$ be a non-unimodular solvable Lie group which is a semidirect product of $R^m$ and $R^n$. We consider a codimension one locally free volume preserving action of $G$ on a closed manifold. It is shown that, under some conditions on the group $G$, such an action is homogeneous. It is also shown that such a group $G$ has a homogeneous action if and only if the structure constants of $G$ satisfy certain algebraic conditions.

Publié le : 2001-05-14
Classification: 37C85, 22F30

@article{1178207480,
     author = {Yamakawa, Aiko and Tsuchiya, Nobuo},
     title = {Codimension one locally free actions of solvable Lie groups},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 241-263},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207480}
}

Yamakawa, Aiko; Tsuchiya, Nobuo. Codimension one locally free actions of solvable Lie groups. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  241-263. http://gdmltest.u-ga.fr/item/1178207480/