Geodesic
On a~criterion of conformal parabolicity of a~Riemannian manifold
Sbornik. Mathematics, Tome 206 (2015) no. 3, pp. 389-420

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {V. M. Keselman},
     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/