On the de Rham cohomology of solvmanifolds
Differential Geometry
2009-12-11 v1
Abstract
By using results by D. Witte on the superigidity of lattices in solvable Lie groups we get a different proof of a recent remarkable result obtained by D. Guan on the de Rham cohomology of a compact solvmanifold, i.e. of a quotient of a connected and simply connected solvable Lie group by a lattice . This result can be applied to compute the Betti numbers of a compact solvmanifold even in the case that the solvable Lie group and the lattice do not satisfy the Mostow condition.
Cite
@article{arxiv.0912.2006,
title = {On the de Rham cohomology of solvmanifolds},
author = {Sergio Console and Anna Fino},
journal= {arXiv preprint arXiv:0912.2006},
year = {2009}
}
Comments
15 pages