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On the upper semicontinuity of the Wu metric
Author(s):
Marek
Jarnicki;
Peter
Pflug
Journal:
Proc. Amer. Math. Soc.
133
(2005),
239-244.
MSC (2000):
Primary 32F45
Posted:
August 20, 2004
MathSciNet review:
2086216
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Abstract:
We discuss continuity and upper semicontinuity of the Wu pseudometric.
References:
-
- [Che-Kim 1996]
- C. K. Cheung, K. T. Kim, Analysis of the Wu metric. I: The case of convex Thullen domains, Trans. Amer. Math. Soc. 348 (1996), 1429-1457. MR 1357392 (96i:32026)
- [Che-Kim 1997]
- C. K. Cheung, K. T. Kim, Analysis of the Wu metric. II: The case of non-convex Thullen domains, Proc. Amer. Math. Soc. 125 (1997), 1131-1142. MR 1363414 (97f:32029)
- [Che-Kim 2003]
- C. K. Cheung, K. T. Kim, The constant curvature property of the Wu invariant metric, Pac. J. Math. 211 (2003), 61-68. MR 2016590
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- M. Jarnicki, P. Pflug, Invariant Distances and Metrics in Complex Analysis, de Gruyter Expositions in Mathematics 9, Walter de Gruyter 1993. MR 1242120 (94k:32039)
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- P. Jucha, The Wu metric in elementary Reinhardt domains, Univ. Iag. Acta Math. 40 (2002), 83-89. MR 1962715 (2003m:32008)
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- K. T. Kim, The Wu metric and minimum ellipsoids, Proc. 3rd Pacific Rim Geometry Conf. (J. Choe ed.), Monogr. Geom. Topology 25, International Press, Cambridge, 1998, 121-138. MR 1751069 (2001f:32017)
- [Wu]
- H. Wu, Unpublished notes.
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- H. Wu, Old and new invariant metrics on complex manifolds, Several complex variables: Proc. Mittag-Leffler Inst. 1987-88 (J.E. Fornæss ed.), Math. Notes, Princeton Univ. Press 38 (1993), 640-682. MR 1207887 (94a:32038)
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Additional Information:
Marek
Jarnicki
Affiliation:
Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Email:
jarnicki@im.uj.edu.pl
Peter
Pflug
Affiliation:
Institut für Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany
Email:
pflug@mathematik.uni-oldenburg.de
DOI:
10.1090/S0002-9939-04-07649-X
PII:
S 0002-9939(04)07649-X
Keywords:
Wu metric
Received by editor(s):
October 3, 2003
Posted:
August 20, 2004
Additional Notes:
Both authors were supported in part by KBN grant no.~5 P03A 033 21 and by DFG grant no.~227/8-1.
Communicated by:
Mei-Chi Shaw
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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