|
|||||
|
|
|
|
|
|
|
|
|
An extremal length
criterion for the parabolicity of Riemannian spaces
Wellington Ham Ow |
|
Vol. 23 (1967), No. 3, 585–590
|
Abstract |
|
It is the purpose of this paper to show that a given Riemannian space satisfying a regularity condition is parabolic if and only if the extremal distance of a fixed ball in the space from the ideal boundary of the space is infinite. We will also show that the harmonic modulus of a space bounded by two sets of boundary components coincides with the extremal distance between the two sets. |
Mathematical Subject Classification
Primary: 53.72
|
Milestones
Received: 30 January 1967
Published: 1 December 1967
|
Authors |
| Wellington Ham Ow | |
|
