Weak metrics on Euclidean domains

Details Weak metrics on Euclidean domains Weak metrics on Euclidean domains

2006-09-08

arxiv.org/abs/math/0609236v1

JP Journal of Geometry and Topology, vol. 7, num. 1, 2007, p. 23 - 44

Mathematics

Metric Geometry

Scientific paper

A weak metric on a set is a function that satisfies the axioms of a metric except the symmetry and the separation axioms. In the present paper we introduced a weak metric, called the Apollonian weak metric, on any subset of a Euclidean space which is either bounded or whose boundary is unbounded. We then relate this weak metric to some familiar metrics such as the Poincare metric, the Klein-Hilbert metric, Funk metric, and the part metric which play an important role in classic and recent work on geometric function theory.

Affiliated with

Also associated with

No associations

Rating

Weak metrics on Euclidean domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Weak metrics on Euclidean domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weak metrics on Euclidean domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-112726