The relative isoperimetric inequality on a conformally parabolic manifold with boundary
Journal Article
·
· Sbornik. Mathematics
- Moscow State Industrial University, Moscow (Russian Federation)
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.
- OSTI ID:
- 21592534
- Journal Information:
- Sbornik. Mathematics, Vol. 202, Issue 7; Other Information: DOI: 10.1070/SM2011v202n07ABEH004176; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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