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Russian Mathematical Surveys, 2013, Volume 68, Issue 6, Pages 1073–1130
DOI: https://doi.org/10.1070/RM2013v068n06ABEH004870 (Mi rm9565) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Extremal metrics for eigenvalues of the Laplace–Beltrami operator on surfaces

A. V. Penskoiabc

a M. V. Lomonosov Moscow State
b National Research University "Higher School of Economics"
c Independent University of Moscow
English version PDF (886 kB) Citations (14)
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DOI: https://doi.org/10.1070/RM2013v068n06ABEH004870
Abstract: Known results on geometric optimisation of eigenvalues of the Laplace operator are briefly reviewed, and a more detailed survey of recent results in the theory of extremal metrics on surfaces is presented.
Bibliography: 78 titles.
Keywords: geometric optimisation of eigenvalues, extremal metrics, minimal surfaces in spheres.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2010-220-01-077
НШ-4995.2012.1
Simons Foundation
Received: 24.10.2013
Russian version:
Uspekhi Matematicheskikh Nauk, 2013, Volume 68, Issue 6(414), Pages 107–168
DOI: https://doi.org/10.4213/rm9565
Bibliographic databases:
Document Type: Article
UDC: 514.76+517.9
MSC: 58J50, 53C42
Language: English
Original paper language: Russian
Citation: A. V. Penskoi, “Extremal metrics for eigenvalues of the Laplace–Beltrami operator on surfaces”, Uspekhi Mat. Nauk, 68:6(414) (2013), 107–168; Russian Math. Surveys, 68:6 (2013), 1073–1130
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:120
    First page:80
     
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