论文信息 - The Klein, Hilbert and Poincaré metrics of a domain

The Klein, Hilbert and Poincaré metrics of a domain

Abstract 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 ).

A. F. Beardon | A. Beardon

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