Weak Finsler Strutures and the Funk Metric

Details Weak Finsler Strutures and the Funk Metric Weak Finsler Strutures and the Funk Metric

2008-04-04

arxiv.org/abs/0804.0705v1

Mathematics

Differential Geometry

18 pages, 3 figures

Scientific paper

We discuss general notions of metrics and of Finsler structures which we call weak metrics and weak Finsler structures. Any convex domain carries a canonical weak Finsler structure, which we call its tautological weak Finsler structure. We compute distances in the tautological weak Finsler structure of a domain and we show that these are given by the so-called Funk weak metric. We conclude the paper with a discussion of geodesics, of metric balls and of convexity properties of the Funk weak metric.

Affiliated with

Also associated with

No associations

Rating

Weak Finsler Strutures and the Funk Metric 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 Finsler Strutures and the Funk Metric, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weak Finsler Strutures and the Funk Metric will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-190810