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Laboratoire de Mathématiques Jean Leray UMR 6629 |
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Laboratoire de Mathématiques Jean Leray UMR 6629 |
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| HAL: hal-00008604, version 1 |
| arXiv: math.DG/0207111 |
| Detailed view |  Export this paper |
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| Duke Mathematical Journal 122 (2004) 145-180 |
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| Sur la L2-cohomologie des varietes a courbure negative |
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| Nader Yeganefar 1 |
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| (2002) |
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| We give a topological interpretation of the space of L2-harmonic forms on finite-volume manifolds with sufficiently pinched negative curvature. We give examples showing that this interpretation fails if the curvature is not sufficiently pinched and that our result is sharp with respect to the pinching constants. The method consists first in comparing L2-cohomology with weighted L2-cohomology thanks to previuos works done by T. Ohsawa, and then in identifying these weighted spaces. |
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| 1: | Laboratoire de Mathématiques Jean Leray (LMJL) |
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CNRS : UMR6629 – Université de Nantes – École Centrale de Nantes |
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| Subject | : | Mathematics/Differential Geometry |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math.DG/0207111 |
| hal-00008604, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00008604 | |
| oai:hal.archives-ouvertes.fr:hal-00008604 | |
| From: Import Arxiv | |
| Submitted on: Sunday, 11 September 2005 18:20:29 | |
| Updated on: Sunday, 11 September 2005 18:20:29 | |
