Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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THE BOUNDARY BEHAVIOR BETWEEN THE KOBAYASHI-ROYDEN AND CARATHÉODORY METRICS ON STRONGLY PSEUDOCONVEX DOMAIN IN ℂn

  • KIM, JONG JIN (Dept. of Mathematics, Chonbuk National University) ;
  • PARK, SUNG HEE (Dept. of Mathematics, Chonbuk National University)
  • Received : 1997.05.01
  • Published : 19970000
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Abstract

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.

Keywords

References

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