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PRODUCT PROPERTIES OF SINGULAR KOBAYASHI METRICS
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  • Journal title : Honam Mathematical Journal
  • Volume 30, Issue 3,  2008, pp.551-556
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2008.30.3.551
 Title & Authors
PRODUCT PROPERTIES OF SINGULAR KOBAYASHI METRICS
Kim, Jong-Jin;
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 Abstract
In this paper, we prove the product properties of the singular Kobayashi metrics relative to the higher order Kobayashi metric.
 Keywords
higher order Kobayashi metric;product properties;
 Language
English
 Cited by
 References
1.
I. Graham, Boundary behavior of the Caratheodory and Kobayashi metrics on Strongly Pseudoconvex Domains in ${\mathbb{C}}^n$ with smooth boundary, Trans. AMS. 207(1975), pp219-240

2.
M. Jarnicki and P. Pflug, Invariant distances and Metrics in Complex Analysis, Walter de Gruyter, Berlin, New York(1993)

3.
J.J. Kim, I.G. Hwang, J.K. Kim and J.S.Lee On the higher order Kobayashi metrics, Honam Math. Journal, 26(4), (2004), pp549-557

4.
J.J. Kim, J.K. Kim and J.S.Lee On the higher order Kobayashi metrics, Honam Math. Journal, 28(4), (2006), pp513-520

5.
J.J. Kim On the singular Kobayashi pseudometrics, Honam Math. Journal, 29(4), (2007), pp617-630 crossref(new window)

6.
S. Kobayashi, Hyperbolic manifolds and Holomorphic mappings, Dekker, New York, (1970)

7.
L. Lempert, La metrique de Kobayashi et la representation des domaines sur la boule, Bull. Soc. Math. France 109(1981), pp427-474

8.
N. Nikolov, Stability and boundary behavior of the Kobayashi metrics, Acta Math. Hungar 90(4)(2001), pp283-291 crossref(new window)

9.
H. L. Royden, "Remarkes on the Kobayashi metric" in Proceedings of the Maryland Conference on Several Complex Variables II, Lecture Notes in Math. 189, Springer-Verlag, 1971, pp125-137

10.
J. Yu, "Geometric analysis on weakly pseudoconvex domains", dissertation, Washington Univ. (1993)