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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Bibliographic Details
Main Author:	Bacle, Sébastien
Format:	Others
Language:	en
Published:	McGill University 2005
Subjects:	Mathematics.
Online Access:	http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=83963

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spelling	ndltd-LACETR-oai-collectionscanada.gc.ca-QMM.839632014-02-13T03:44:48ZExtremal metrics on graphs and manifoldsBacle, SébastienMathematics.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.McGill University2005Electronic Thesis or Dissertationapplication/pdfenalephsysno: 002269600proquestno: AAIMR22702Theses scanned by UMI/ProQuest.All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.Master of Science (Department of Mathematics and Statistics.) http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=83963
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Mathematics.
spellingShingle	Mathematics. Bacle, Sébastien Extremal metrics on graphs and manifolds
description	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.
author	Bacle, Sébastien
author_facet	Bacle, Sébastien
author_sort	Bacle, Sébastien
title	Extremal metrics on graphs and manifolds
title_short	Extremal metrics on graphs and manifolds
title_full	Extremal metrics on graphs and manifolds
title_fullStr	Extremal metrics on graphs and manifolds
title_full_unstemmed	Extremal metrics on graphs and manifolds
title_sort	extremal metrics on graphs and manifolds
publisher	McGill University
publishDate	2005
url	http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=83963
work_keys_str_mv	AT baclesebastien extremalmetricsongraphsandmanifolds
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Extremal metrics on graphs and manifolds

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