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Matematicheskie Zametki, 1998, Volume 63, Issue 3, Pages 379–385
DOI: https://doi.org/10.4213/mzm1292
(Mi mzm1292)
 

This article is cited in 4 scientific papers (total in 4 papers)

Conformal type and isoperimetric dimension of Riemannian manifolds

V. A. Zoricha, V. M. Kesel'manb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Kemerovo State University
Full-text PDF (179 kB) Citations (4)
References:
Abstract: The notion of conformal isoperimetric dimension is introduced. For Riemannian manifolds, connections between its conformal isoperimetric dimension and its conformal type are established.
Received: 24.06.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 3, Pages 333–337
DOI: https://doi.org/10.1007/BF02317778
Bibliographic databases:
UDC: 517.54+514.774
Language: Russian
Citation: V. A. Zorich, V. M. Kesel'man, “Conformal type and isoperimetric dimension of Riemannian manifolds”, Mat. Zametki, 63:3 (1998), 379–385; Math. Notes, 63:3 (1998), 333–337
Citation in format AMSBIB
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\by V.~A.~Zorich, V.~M.~Kesel'man
\paper Conformal type and isoperimetric dimension of Riemannian manifolds
\jour Mat. Zametki
\yr 1998
\vol 63
\issue 3
\pages 379--385
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\crossref{https://doi.org/10.4213/mzm1292}
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\zmath{https://zbmath.org/?q=an:0958.53026}
\transl
\jour Math. Notes
\yr 1998
\vol 63
\issue 3
\pages 333--337
\crossref{https://doi.org/10.1007/BF02317778}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075783100007}
Linking options:
  • https://www.mathnet.ru/eng/mzm1292
  • https://doi.org/10.4213/mzm1292
  • https://www.mathnet.ru/eng/mzm/v63/i3/p379
  • This publication is cited in the following 4 articles:
    1. V. A. Zorich, V. M. Kesel'man, “The Isoperimetric Inequality on Manifolds of Conformally Hyperbolic Type”, Funct. Anal. Appl., 35:2 (2001), 90–99  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. V. A. Zorich, V. M. Kesel'man, “A canonical form for the isoperimetric inequality on manifolds of conformally hyperbolic type”, Russian Math. Surveys, 54:3 (1999), 665–666  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. V. A. Zorich, V. M. Kesel'man, “The conformal type and isoperimetric dimension of sub-Riemannian manifolds”, Russian Math. Surveys, 54:4 (1999), 860–861  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Zorich, VA, “Asymptotic geometry and conformal types of Carnot-Caratheodory spaces”, Geometric and Functional Analysis, 9:2 (1999), 393  crossref  mathscinet  zmath  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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