• Title/Summary/Keyword: Kobayashi-Royden metrics and Caratheodory metrics

Search Result 1, Processing Time 0.016 seconds

THE BOUNDARY BEHAVIOR BETWEEN THE KOBAYASHI-ROYDEN AND CARATHÉODORY METRICS ON STRONGLY PSEUDOCONVEX DOMAIN IN ℂn

  • KIM, JONG JIN;PARK, SUNG HEE
    • Honam Mathematical Journal
    • /
    • v.19 no.1
    • /
    • pp.81-86
    • /
    • 1997
  • The aim of this paper is to prove the boundary behavior between the Caratheodory and Kobayashi-Royden metrics in a strongly pseudoconvex bounded domain with $C^2$-boundary in $\mathbb{C}^n$ and to show that the converse does not holds. S. Venturini([Ven]) proved the corresponding result with distances in place of the infinitesimal metrics.

  • PDF