English

Cohomologie $L^p$ et pincement

Differential Geometry 2012-07-25 v1

Abstract

A sharp vanishing theorem for the LpL^p cohomology torsion of Riemannian manifolds with pinched negative curvature is given. It follows that certain negatively curved homogeneous spaces cannot be quasiisometric to better pinched manifolds.

Keywords

Cite

@article{arxiv.1207.5617,
  title  = {Cohomologie $L^p$ et pincement},
  author = {Pierre Pansu},
  journal= {arXiv preprint arXiv:1207.5617},
  year   = {2012}
}