Homogeneous spaces of nonreductive type locally modelling no compact manifold
Differential Geometry
2017-05-09 v1 Group Theory
Geometric Topology
Abstract
We give necessary conditions for the existence of a compact manifold locally modelled on a given homogeneous space, which generalize some earlier results, in terms of relative Lie algebra cohomology. Applications include both reductive and nonreductive cases. For example, we prove that there does not exist a compact manifold locally modelled on a positive dimensional coadjoint orbit of a real linear solvable algebraic group.
Keywords
Cite
@article{arxiv.1508.04862,
title = {Homogeneous spaces of nonreductive type locally modelling no compact manifold},
author = {Yosuke Morita},
journal= {arXiv preprint arXiv:1508.04862},
year = {2017}
}
Comments
11 pages