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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.
Item Metadata
| Title |
Some new results on L² cohomology of negatively curved Riemannian manifolds
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2003
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| 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.
|
| Extent |
1652028 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2009-11-11
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
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.
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| DOI |
10.14288/1.0080053
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2003-05
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
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.