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Cohomologie $L^2$ et parabolicite

Gilles Carron
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Abstract

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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Gilles Carron. 2004-09-23. Cohomologie $L^2$ et parabolicite. https://arxiv.org/abs/math/0407163

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