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SPANNING-RADIUS OF A COMPACT SET OF HYPERBOLIC SPACE

J Hang

1983Mathematics被引 1

摘要

Let be a compact set of hyperbelie n-dimensional space H~n with constant curvature K0. The n-dimensional ball is denoted by B. We put and call it spanning-radius of . On the other hand, let m be a prescribed family of non negative Borel measures of total mass supported by ; and let g(x,y) be the distance of x from y,(x,y ∈H~n). We consider the family of integrals having the form The following equality is proved: And some applications of this equality are given, e. g. a point set of diameter d of H~n with curvature K0 can be covered by a ball of diameter

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