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, Journal Name: Sbornik. Mathematics Journal Issue: 7 Vol. 202; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Isoperimetric inequality on conformally hyperbolic manifolds
On a criterion of conformal parabolicity of a Riemannian manifold
On the measure of conformal difference between Euclidean and Lobachevsky spaces
Journal Article
·
Wed Apr 30 00:00:00 EDT 2003
· Sbornik. Mathematics
·
OSTI ID:21208306
On a criterion of conformal parabolicity of a Riemannian manifold
Journal Article
·
Tue Mar 31 00:00:00 EDT 2015
· Sbornik. Mathematics
·
OSTI ID:22590459
On the measure of conformal difference between Euclidean and Lobachevsky spaces
Journal Article
·
Fri Dec 30 23:00:00 EST 2011
· Sbornik. Mathematics
·
OSTI ID:21612796