Cohomologie $L^2$ et parabolicite

Details Cohomologie $L^2$ et parabolicite Cohomologie $L^2$ et parabolicite

2004-07-09

arxiv.org/abs/math/0407163v2

Journal of Geometric Analysis 15 (2005) 391--404

Mathematics

Differential Geometry

texte en francais

Scientific paper

We obtain a topological interpretation for the space of $L^2$ 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.

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