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The Poincare Metric of Plane Domains

✍ Scribed by Beardon, A. F.; Pommerenke, Ch.

Book ID
120096660
Publisher
Oxford University Press
Year
1978
Tongue
English
Weight
180 KB
Volume
s2-18
Category
Article
ISSN
0024-6107

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📜 SIMILAR VOLUMES

The Klein, Hilbert and Poincaré metrics
The Klein, Hilbert and Poincaré metrics of a domain
✍ A.F. Beardon 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 88 KB

Let D be a bounded strictly convex domain in Euclidean n-space equipped with its Hilbert metric h(x; y). It is shown that as the points x and y of D approach distinct points on the boundary of D, for any a in D the sum h(x; a) + h(a; y) is asymptotic to h(x; y).