Geodesic
The isoperimetric inequality on conformally parabolic manifolds
Sbornik. Mathematics, Tome 200 (2009) no. 1, pp. 1-33 Cet article a éte moissonné depuis la source Math-Net.Ru

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For non-compact Riemannian manifolds without boundary the following conjecture is proved: on a Riemannian manifold of conformally parabolic type, after a conformal change of the metric the isoperimetric function (responsible for the isoperimetric inequality) can be transformed into the same form as in the case of the Euclidean space of the corresponding dimension. Bibliography: 8 titles.
Keywords: Riemannian manifold, conformal type of a manifold, conformal metrics, conformal capacity, isoperimetric function. 
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V. M. Kesel'man. The isoperimetric inequality on conformally parabolic manifolds. Sbornik. Mathematics, Tome 200 (2009) no. 1, pp. 1-33. http://geodesic.mathdoc.fr/item/SM_2009_200_1_a0/

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