Extremal metrics on graphs and manifolds
We review basic results in the field of finding extremal metrics for spectral invariants of the Laplacian on both graphs and manifolds. Special attention is given to the special case of the Klein bottle. The nececery theory is developed to produce the result of Jakobson et all [J-N-P] regarding l...
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| Format: | Others |
| Language: | en |
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McGill University
2005
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| Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=83963 |
| Summary: | We review basic results in the field of finding extremal metrics for spectral invariants of the Laplacian on both graphs and manifolds. Special attention is given to the special case of the Klein bottle. The nececery theory is developed to produce the result of Jakobson et all [J-N-P] regarding lambda 1 on the Klein bottle. Using similar techniques, a new result is established in proving that there is only one extremal metric of a certain kind for lambda 2 on the Klein bottle. |
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