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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

THE HYPERBOLIC METRIC ON K-CONVEX REGIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1998, v.5 no.2, pp.87-93
Song, Tai-Sung

Abstract

Mejia and Minda proved that if a hyperbolic simply connected region <TEX>$\Omega$</TEX> is k-convex, then (equation omitted), <TEX>$z \in \Omega$</TEX>. We show that this inequality actually characterizes k-convex regions.

keywords
hyperbolic metric, k-convex region

한국수학교육학회지시리즈B:순수및응용수학