𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Klein, Hilbert and Poincaré metrics of a domain

✍ Scribed by A.F. Beardon


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
88 KB
Volume
105
Category
Article
ISSN
0377-0427

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✦ Synopsis


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).


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