• Title/Summary/Keyword: higher order Kobayashi metric

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ON THE HIGHER ORDER KOBAYASHI METRICS

  • KIM, JONG JIN;HWANG, IN GYU;KIM, JEONG GYUN;LEE, JEONG SEUNG
    • Honam Mathematical Journal
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    • v.26 no.4
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    • pp.549-557
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    • 2004
  • In this paper, we prove the product property and the existence of an extremal analytic disc relative to the higher order Kobayashi metric. Also by making use of the upper semicontinuity of the higher order Kobayashi metric, we introduce a pseudodistance and investigate some properties of that pseudodistance related to the usual Kobayashi metric.

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ON THE HIGHER ORDER KOBAYASHI METRICS

  • KIM, JONG JIN;KIM, JEONG KYUN;LEE, JEONG SEUNG
    • Honam Mathematical Journal
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    • v.28 no.4
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    • pp.513-520
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    • 2006
  • The purpose of this note is to prove some properties related to the higher order Kobayashi metrics(resp. pseudodistances) as the counterpart for the usual Kobayashi metrics(resp. pseudo distances).

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