# ON THE SINGULAR KOBAYASHI PSEUDOMETRICS

• Accepted : 2007.11.06
• Published : 2007.12.25
• 30 1

#### Abstract

In this paper, we'll introduce infinitesimal Finsler metrics induced by the higher order Kobayashi pseudometric and then prove some properties related to these as compared with the usual Kobayashi metric.

#### Keywords

higher order Kobayashi pseudometric;pseudoconvexity;holomorphic covering space

#### References

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#### Cited by

1. PRODUCT PROPERTIES OF SINGULAR KOBAYASHI METRICS vol.30, pp.3, 2008, https://doi.org/10.5831/HMJ.2008.30.3.551
2. A METRIC INDUCED BY THE BERGMAN KERNEL vol.36, pp.4, 2014, https://doi.org/10.5831/HMJ.2014.36.4.853