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Sbornik: Mathematics, 2015, Volume 206, Issue 3, Pages 389–420
DOI: https://doi.org/10.1070/SM2015v206n03ABEH004463 (Mi sm8290) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a criterion of conformal parabolicity of a Riemannian manifold

V. M. Keselman

Moscow State Industrial University
English version PDF (670 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2015v206n03ABEH004463
Abstract: The paper relates to the circle of problems concerning the connection between the conformal type of a Riemannian manifold and the canonical form of its isoperimetric function. Two special examples of 2-manifolds are constructed, which explain the meaning, role and importance of the conditions involved in the criterion, previously obtained by the author, which decides whether a noncompact Riemannian $n$-manifold is conformally parabolic.
Bibliography: 8 titles.
Keywords: Riemannian manifold, conformal metric, conformal capacity, conformal type of a manifold, isoperimetric function of a Riemannian manifold.
Received: 11.10.2013
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 3, Pages 57–90
DOI: https://doi.org/10.4213/sm8290
Bibliographic databases:
Document Type: Article
UDC: 517.54+514.774
MSC: 53A30, 53C20
Language: English
Original paper language: Russian
Citation: V. M. Keselman, “On a criterion of conformal parabolicity of a Riemannian manifold”, Mat. Sb., 206:3 (2015), 57–90; Sb. Math., 206:3 (2015), 389–420
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2015v206n03ABEH004463
  • https://www.mathnet.ru/eng/sm/v206/i3/p57
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:391
    Russian version PDF:193
    English version PDF:6
    References:37
    First page:26
     
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