On the upper semicontinuity of the Wu metric
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- by Marek Jarnicki and Peter Pflug
- Proc. Amer. Math. Soc. 133 (2005), 239-244
- DOI: https://doi.org/10.1090/S0002-9939-04-07649-X
- Published electronically: August 20, 2004
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Abstract:
We discuss continuity and upper semicontinuity of the Wu pseudometric.References
- C. K. Cheung and Kang-Tae Kim, Analysis of the Wu metric. I. The case of convex Thullen domains, Trans. Amer. Math. Soc. 348 (1996), no. 4, 1429–1457. MR 1357392, DOI 10.1090/S0002-9947-96-01642-X
- C. K. Cheung and K. T. Kim, Analysis of the Wu metric. II. The case of non-convex Thullen domains, Proc. Amer. Math. Soc. 125 (1997), no. 4, 1131–1142. MR 1363414, DOI 10.1090/S0002-9939-97-03695-2
- C. K. Cheung and Kang-Tae Kim, The constant curvature property of the Wu invariant metric, Pacific J. Math. 211 (2003), no. 1, 61–68. MR 2016590, DOI 10.2140/pjm.2003.211.61
- Marek Jarnicki and Peter Pflug, Invariant distances and metrics in complex analysis, De Gruyter Expositions in Mathematics, vol. 9, Walter de Gruyter & Co., Berlin, 1993. MR 1242120, DOI 10.1515/9783110870312
- Piotr Jucha, The Wu metric in elementary Reinhardt domains, Univ. Iagel. Acta Math. 40 (2002), 83–89. MR 1962715
- Kang-Tae Kim, The Wu metric and minimum ellipsoids, The Third Pacific Rim Geometry Conference (Seoul, 1996) Monogr. Geom. Topology, vol. 25, Int. Press, Cambridge, MA, 1998, pp. 121–138. MR 1751069
- H. Wu, Unpublished notes.
- H. Wu, Old and new invariant metrics on complex manifolds, Several complex variables (Stockholm, 1987/1988) Math. Notes, vol. 38, Princeton Univ. Press, Princeton, NJ, 1993, pp. 640–682. MR 1207887
Bibliographic Information
- Marek Jarnicki
- Affiliation: Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
- MR Author ID: 93825
- Email: jarnicki@im.uj.edu.pl
- Peter Pflug
- Affiliation: Institut für Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany
- MR Author ID: 139035
- Email: pflug@mathematik.uni-oldenburg.de
- Received by editor(s): October 3, 2003
- Published electronically: 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 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 239-244
- MSC (2000): Primary 32F45
- DOI: https://doi.org/10.1090/S0002-9939-04-07649-X
- MathSciNet review: 2086216