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This article is cited in 3 scientific papers (total in 3 papers)
The relative isoperimetric inequality on a conformally parabolic manifold with boundary
V. M. Kesel'man Moscow State Industrial University
Abstract:
For an arbitrary noncompact $n$-dimensional Riemannian manifold with a boundary of conformally parabolic type it is proved that there exists a conformal change of metric such that a relative isoperimetric inequality
of the same form as in the closed $n$-dimensional Euclidean half-space holds on the manifold with the new metric. This isoperimetric inequality is asymptotically sharp.
Bibliography: 6 titles.
Keywords:
Riemannian manifold, conformal type of a manifold, conformal capacity, conformal metrics, isoperimetric function.
Received: 17.05.2010
Citation:
V. M. Kesel'man, “The relative isoperimetric inequality on a conformally parabolic manifold with boundary”, Sb. Math., 202:7 (2011), 1043–1058
Linking options:
https://www.mathnet.ru/eng/sm7738https://doi.org/10.1070/SM2011v202n07ABEH004176 https://www.mathnet.ru/eng/sm/v202/i7/p117
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Abstract page: | 565 | Russian version PDF: | 199 | English version PDF: | 13 | References: | 84 | First page: | 22 |
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