English

Semisimple symmetric spaces that do not model any compact manifold

Differential Geometry 2019-04-22 v2 Geometric Topology

Abstract

In a previous paper, we obtained a cohomological obstruction to the existence of compact manifolds locally modelled on a homogeneous space. In this paper, we give a classification of the semisimple symmetric spaces to which this obstruction is applicable.

Keywords

Cite

@article{arxiv.1811.01495,
  title  = {Semisimple symmetric spaces that do not model any compact manifold},
  author = {Yosuke Morita},
  journal= {arXiv preprint arXiv:1811.01495},
  year   = {2019}
}

Comments

17 pages, Remark 1.6 added, to appear in J. Lie Theory