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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 15 scientific papers (total in 15 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 (15) Russian version article
References:
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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
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”, Russian Math. Surveys, 68:6 (2013), 1073–1130
Citation in format AMSBIB
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\by A.~V.~Penskoi
\paper Extremal metrics for eigenvalues of the Laplace--Beltrami operator on surfaces
\jour Russian Math. Surveys
\yr 2013
\vol 68
\issue 6
\pages 1073--1130
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  • https://www.mathnet.ru/eng/rm/v68/i6/p107
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:899
    Russian version PDF:464
    English version PDF:32
    References:134
    First page:80
     
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