Geodesic
On a criterion of conformal parabolicity of a Riemannian manifold
Sbornik. Mathematics, Tome 206 (2015) no. 3, pp. 389-420 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {On a~criterion of conformal parabolicity of {a~Riemannian} manifold},
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V. M. Keselman. On a criterion of conformal parabolicity of a Riemannian manifold. Sbornik. Mathematics, Tome 206 (2015) no. 3, pp. 389-420. http://geodesic.mathdoc.fr/item/SM_2015_206_3_a2/

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[7] V. M. Keselman, “Konformnaya klassifikatsiya nekompaktnykh rimanovykh mnogoobrazii i normalnaya forma izoperimetricheskogo neravenstva”, Sovremennye problemy matematiki i mekhaniki. Matematika, VI, no. 2, Izd-vo MGU, Moskva, 2011, 217–224

[8] V. M. Keselman, “Evklidovo izoperimetricheskoe neravenstvo v klasse konformnykh metrik nekompaktnogo rimanova mnogoobraziya”, Vestn. Volgogr. gos. un-ta. Cer. 1. Matem. Fiz., 2:15 (2011), 33–42