The invariant distance in the theory of pseudoconformal transformations and the Lu Qi-keng conjecture
Author:
M. Skwarczyński
Journal:
Proc. Amer. Math. Soc. 22 (1969), 305-310
MSC:
Primary 32.35
DOI:
https://doi.org/10.1090/S0002-9939-1969-0244512-5
MathSciNet review:
0244512
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References | Similar Articles | Additional Information
- [1] S. Bergman, Sur les fonctions orthogonales de plusieurs variables complexes, Mémor. Sci. Math. 106 (1947).
- [2] -, Sur la fonction-noyau d'un domaine, Mémor. Sci. Math. 108 (1948).
- [3] -, Über die Kernfunkton eines Bereiches und ihr Verhalten am Rande, J. Reine Angew. Math. 169 (1933), 1-42; 172 (1935), 89-128.
- [4] -, Über die Existenz von Representantenbereichen in der Theorie der Abbildung durch Paare von Funktionen zweier komplexen Veränderlichen, Math. Ann. 102 (1929), 430-446.
- [5] -, The kernel function and conformal mapping, Math. Surveys No. 5, Amer. Math. Soc., Providence, R. I., 1950. MR 0038439 (12:402a)
- [6] H. Bremermann, Holomorphic continuation of the kernel function and the Bergman metric in several complex variables, edited by Wilfred Kaplan et al., Univ. of Michigan Press, Ann Arbor, 1955, pp. 349-383. MR 0074058 (17:529f)
- [7] B. Chalmers, On the boundary behavior of the Bergman kernel function and related domain functionals, Pacific J. Math. (to appear). MR 0247133 (40:402)
- [8] K. Diederich, Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten, Math. Ann. (to appear).
- [9] S. Kobayashi, Geometry of bounded domains, Trans. Amer. Math. Soc. 92 (1959), 267-290. MR 0112162 (22:3017)
- [10] Lu Qi-Keng, On Kaehler manifolds with constant curvature, Acta Math. Sinica 16 (1966), 269-281 = Chinese Math. Acta 8 (1966), 283-298. MR 0206990 (34:6806)
- [11] J. Mitchell, The kernel function in the geometry of matrices, Duke Math. J. 19 (1952), 575-584. MR 0050690 (14:368b)
- [12] I. Ramadanov, Sur une propriété de la fonction de Bergman, C. R. Acad. Bulgare Sci. 20 (1967), 759-762. MR 0226042 (37:1632)
- [13] K. Yano and S. Bochner, Curvature and Betti numbers, Ann. of Math., Princeton Univ. Press, Princeton, N. J., 1953. MR 0062505 (15:989f)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1969-0244512-5
Article copyright:
© Copyright 1969
American Mathematical Society