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Funktsional'nyi Analiz i ego Prilozheniya, 1996, Volume 30, Issue 2, Pages 40–55
DOI: https://doi.org/10.4213/faa520
(Mi faa520)
 

This article is cited in 39 scientific papers (total in 39 papers)

On the Conformal Type of a Riemannian Manifold

V. A. Zoricha, V. M. Kesel'manb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Kemerovo State University
References:
Received: 22.03.1995
English version:
Functional Analysis and Its Applications, 1996, Volume 30, Issue 2, Pages 106–117
DOI: https://doi.org/10.1007/BF02509450
Bibliographic databases:
Document Type: Article
UDC: 517.54+514.774
Language: Russian
Citation: V. A. Zorich, V. M. Kesel'man, “On the Conformal Type of a Riemannian Manifold”, Funktsional. Anal. i Prilozhen., 30:2 (1996), 40–55; Funct. Anal. Appl., 30:2 (1996), 106–117
Citation in format AMSBIB
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\paper On the Conformal Type of a Riemannian Manifold
\jour Funktsional. Anal. i Prilozhen.
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\vol 30
\issue 2
\pages 40--55
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\jour Funct. Anal. Appl.
\yr 1996
\vol 30
\issue 2
\pages 106--117
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Linking options:
  • https://www.mathnet.ru/eng/faa520
  • https://doi.org/10.4213/faa520
  • https://www.mathnet.ru/eng/faa/v30/i2/p40
  • This publication is cited in the following 39 articles:
    1. Shihshu Walter Wei, Jun-Fang Li, Lina Wu, “p-Parabolicity and a Generalized Bochner's Method with Applications”, La Matematica, 2024  crossref
    2. Anders Björn, Jana Björn, “Condenser capacities and capacitary potentials for unbounded sets, and global p -harmonic Green functions on metric spaces”, Communications in Partial Differential Equations, 49:10-12 (2024), 938  crossref
    3. Anders Björn, Jana Björn, Juha Lehrbäck, “Volume growth, capacity estimates, p-parabolicity and sharp integrability properties of p-harmonic Green functions”, JAMA, 150:1 (2023), 159  crossref
    4. Wang Weihan, Zhao Wei, “On the capacity of Finsler metric measure spaces”, Sci. Sin.-Math., 53:3 (2023), 481  crossref
    5. T. R. Igonina, V. M. Keselman, O. R. Paraskevopulo, “Some criteria of capacitive type of a noncompact Riemannian manifold”, Moscow University Mathematics Bulletin, 77:2 (2022), 89–92  mathnet  crossref  mathscinet  zmath
    6. V. A. Zorich, “On a question of Gromov concerning the generalized Liouville theorem”, Russian Math. Surveys, 74:1 (2019), 175–177  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. V. M. Keselman, “The concept and criteria of the capacitive type of the non-compact Riemannian manifold based on the generalized capacity”, Mathematical Physics and Computer Simulation, 22:2 (2019), 21–32  mathnet  mathnet  crossref
    8. V. A. Zorich, “Some observations concerning multidimensional quasiconformal mappings”, Sb. Math., 208:3 (2017), 377–398  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. V. A. Zorich, “Boundary behaviour of automorphisms of a hyperbolic space”, Russian Math. Surveys, 72:4 (2017), 645–670  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. 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
    11. V. A. Zorich, “Asymptotic behavior at infinity of the admissible growth of the quasiconformality coefficient and the injectivity of immersions of sub-Riemannian manifolds”, Proc. Steklov Inst. Math., 279 (2012), 73–77  mathnet  crossref  mathscinet  isi  elib  elib
    12. V. A. Zorich, “On the measure of conformal difference between Euclidean and Lobachevsky spaces”, Sb. Math., 202:12 (2011), 1825–1830  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. Grosse N., “The Hijazi inequality on conformally parabolic manifolds”, Differential Geom Appl, 29:6 (2011), 838–849  crossref  mathscinet  zmath  isi  scopus  scopus
    14. Pankka P., Rajala K., “Quasiregularly elliptic link complements”, Geom Dedicata, 154:1 (2011), 1–8  crossref  mathscinet  zmath  isi  scopus  scopus
    15. 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
    16. V. M. Kesel'man, “The relative isoperimetric inequality on a conformally parabolic manifold with boundary”, Russian Math. Surveys, 65:2 (2010), 384–385  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    17. Gol'dshtein V., Troyanov M., “A Conformal de Rham Complex”, J Geom Anal, 20:3 (2010), 651–669  crossref  mathscinet  zmath  isi  scopus  scopus
    18. V. M. Kesel'man, “The isoperimetric inequality on conformally parabolic manifolds”, Sb. Math., 200:1 (2009), 1–33  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    19. Grimaldi, R, “Calibrations and isoperimetric profiles”, American Journal of Mathematics, 129:2 (2007), 315  crossref  mathscinet  zmath  isi
    20. V. A. Zorich, “Contact Quasiconformal Immersions”, Proc. Steklov Inst. Math., 253 (2006), 71–77  mathnet  crossref  mathscinet  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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