# ON THE HIGHER ORDER KOBAYASHI METRICS

• KIM, JONG JIN (Department of Mathematics, Chonbuk National University) ;
• HWANG, IN GYU (Department of Mathematics, Chonju University) ;
• KIM, JEONG GYUN (Department of Mathematics, Chonbuk National University) ;
• LEE, JEONG SEUNG (Department of Mathematics, Chonbuk National University)
• Published : 2004.12.25

#### Abstract

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.

#### Acknowledgement

Supported by : Chonbuk National University

#### References

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