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Sbornik: Mathematics, 2011, Volume 202, Issue 7, Pages 1043–1058
DOI: https://doi.org/10.1070/SM2011v202n07ABEH004176 (Mi sm7738) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The relative isoperimetric inequality on a conformally parabolic manifold with boundary

V. M. Kesel'man

Moscow State Industrial University
English version PDF (316 kB) Citations (3) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2011v202n07ABEH004176
Abstract: For an arbitrary noncompact nn-dimensional Riemannian manifold with a boundary of conformally parabolic type it is proved that there exists a conformal change of metric such that a relative isoperimetric inequality of the same form as in the closed n-dimensional Euclidean half-space holds on the manifold with the new metric. This isoperimetric inequality is asymptotically sharp.
Bibliography: 6 titles.
Keywords: Riemannian manifold, conformal type of a manifold, conformal capacity, conformal metrics, isoperimetric function.
Received: 17.05.2010
Bibliographic databases:
Document Type: Article
UDC: 517.54+514.774
MSC: Primary 53A30, 53C20; Secondary 31C45
Language: English
Original paper language: Russian
Citation: V. M. Kesel'man, “The relative isoperimetric inequality on a conformally parabolic manifold with boundary”, Sb. Math., 202:7 (2011), 1043–1058
Citation in format AMSBIB
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\by V.~M.~Kesel'man
\paper The relative isoperimetric inequality on a~conformally parabolic manifold with boundary
\jour Sb. Math.
\yr 2011
\vol 202
\issue 7
\pages 1043--1058
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\crossref{https://doi.org/10.1070/SM2011v202n07ABEH004176}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2857796}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011SbMat.202.1043K}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052699514}
Linking options:
  • https://www.mathnet.ru/eng/sm7738
  • https://doi.org/10.1070/SM2011v202n07ABEH004176
  • https://www.mathnet.ru/eng/sm/v202/i7/p117
    Cycle of papers
    This publication is cited in the following 3 articles:
    1. V. M. Keselman, “On a criterion of conformal parabolicity of a Riemannian manifold”, Sb. Math., 206:3 (2015), 389–420  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. Keselman V.M., “Evklidovo izoperimetricheskoe neravenstvo v klasse konformnykh metrik nekompaktnogo rimanova mnogoobraziya”, Vestn. Volgogradskogo gos. un-ta. Ser. 1. Matem. Fiz., 2011, no. 2, 33–42  elib
    3. Keselman V.M., “Evklidovo izoperimetricheskoe neravenstvo v klasse konformnykh metrik nekompaktnogo rimanova mnogoobraziya”, Vestnik volgogradskogo gosudarstvennogo universiteta. seriya 1: matematika. fizika, 2011, no. 2, 33–42 Euclidean isoperimetric inequality on non-compact riemannian manifold  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:611
    Russian version PDF:209
    English version PDF:19
    References:96
    First page:22
     
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