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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2009
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| Online Access: | http://hdl.handle.net/2429/14753 |
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ndltd-UBC-oai-circle.library.ubc.ca-2429-147532018-01-05T17:37:28Z Some new results on L² cohomology of negatively curved Riemannian manifolds Cocos, Mihail 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. Science, Faculty of Mathematics, Department of Graduate 2009-11-11T05:45:50Z 2009-11-11T05:45:50Z 2003 2003-05 Text Thesis/Dissertation http://hdl.handle.net/2429/14753 eng For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. 1652028 bytes application/pdf |
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NDLTD |
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English |
| format |
Others
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NDLTD |
| description |
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. === Science, Faculty of === Mathematics, Department of === Graduate |
| author |
Cocos, Mihail |
| spellingShingle |
Cocos, Mihail Some new results on L² cohomology of negatively curved Riemannian manifolds |
| author_facet |
Cocos, Mihail |
| author_sort |
Cocos, Mihail |
| title |
Some new results on L² cohomology of negatively curved Riemannian manifolds |
| title_short |
Some new results on L² cohomology of negatively curved Riemannian manifolds |
| title_full |
Some new results on L² cohomology of negatively curved Riemannian manifolds |
| title_fullStr |
Some new results on L² cohomology of negatively curved Riemannian manifolds |
| title_full_unstemmed |
Some new results on L² cohomology of negatively curved Riemannian manifolds |
| title_sort |
some new results on l² cohomology of negatively curved riemannian manifolds |
| publishDate |
2009 |
| url |
http://hdl.handle.net/2429/14753 |
| work_keys_str_mv |
AT cocosmihail somenewresultsonl2cohomologyofnegativelycurvedriemannianmanifolds |
| _version_ |
1718589704246394880 |