| EPSRC Reference: |
GR/N07448/01 |
| Title: |
THE SPECTRUM OF THE LAPLACIAN ON HYPERBOLIC 3-MANIFOLDS |
| Principal Investigator: |
Anderson, Dr J |
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| Department: |
School of Mathematics |
| Organisation: |
University of Southampton |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
14 July 2000 |
Ends: |
13 June 2002 |
Value (£): |
7,450
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The structure of the spectrum of the Laplacian on a geometrically finite hyperbolic 3-manifold is completely understood. In this work, we consider the structure of the Laplacian on geometrically infinite hyperbolic 3-manifolds with finitely generated fundamental group. The ultimate goal of the project is to show that Conjectures C and D in the case for support, which describe the spectrum of the Laplacian on geometrically infinite hyperbolic 3-manifolds, hold. The specific objectives of this project are to consider these conjectures in the test case of geometrically finite hyperbolic 3-manifolds. As it is conjectured that all geometrically infinite hyperbolic 3-manifolds are limits of sequences of geometrically finite hyperbolic 3-manifolds, this project will allow us to develop techniques to handle geometrically infinite Kleinian groups which are limits.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.soton.ac.uk |