Inequality between the Bergman metric and Carathéodory differential metric
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- by Kyong T. Hahn PDF
- Proc. Amer. Math. Soc. 68 (1978), 193-194 Request permission
Abstract:
The author gives a short proof of an inequality between the Bergman metric and the Carathéodory differential metric on any complex manifold.References
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S. Bergman, Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande, J. Reine Angew. Math. 169 (1933), 1-42; 172 (1935), 89-128.
- Jacob Burbea, Inequalities between intrinsic metrics, Proc. Amer. Math. Soc. 67 (1977), no. 1, 50–54. MR 481121, DOI 10.1090/S0002-9939-1977-0481121-1
- Kyong T. Hahn, On completeness of the Bergman metric and its subordinate metric, Proc. Nat. Acad. Sci. U.S.A. 73 (1976), no. 12, 4294. MR 417459, DOI 10.1073/pnas.73.12.4294
- Kyong T. Hahn, On completeness of the Bergman metric and its subordinate metrics. II, Pacific J. Math. 68 (1977), no. 2, 437–446. MR 486653, DOI 10.2140/pjm.1977.68.437
- Shoshichi Kobayashi, Geometry of bounded domains, Trans. Amer. Math. Soc. 92 (1959), 267–290. MR 112162, DOI 10.1090/S0002-9947-1959-0112162-5
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 193-194
- MSC: Primary 32H15
- DOI: https://doi.org/10.1090/S0002-9939-1978-0477166-9
- MathSciNet review: 0477166