Some new results on L² cohomology of negatively curved Riemannian manifolds
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...
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| Language: | English |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/2429/14753 |
| Summary: | 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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