English

Cohomologie $L^2$ et parabolicite

Differential Geometry 2007-05-23 v2

Abstract

We obtain a topological interpretation for the space of L2L^2 harmonic forms for some complete Riemannian manifold : when the geometry at infinity is the geometry of a simply connected nilpotent Lie group, when the geometry at infinity is a symmetric space with non positive curvature and also when the geometry at infinity is parabolic.

Keywords

Cite

@article{arxiv.math/0407163,
  title  = {Cohomologie $L^2$ et parabolicite},
  author = {Gilles Carron},
  journal= {arXiv preprint arXiv:math/0407163},
  year   = {2007}
}

Comments

texte en francais