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Some new results on L² cohomology of negatively curved Riemannian manifolds Cocos, Mihail

Abstract

The present paper is concerned with the study of the L² cohomology spaces of negatively curved manifolds. The first half presents a fmiteness and vanishing result obtained under some curvature assumptions, while the second half identifies a large class of metrics having the same L² cohomology as the Hyperbolic space. For the second part we rely on the Heat-Flow method initiated by M.Gafmey.

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