Year: 1967
Type: article
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.
Source: Pacific Journal of Mathematics
Author: Wellington Ow
Institution: University of California, Los Angeles
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2017954022