Classifying maps in fiberings of homogeneous bounded domains
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- by Soji Kaneyuki PDF
- Proc. Amer. Math. Soc. 52 (1975), 283-288 Request permission
Abstract:
A homogeneous bounded domain in ${{\text {C}}^n}$ admits a structure of a fiber space whose base and fibers are homogeneous bounded domains. For such a fibering there exists a universal fiber space with the same fibers, which plays an analogous role as a universal bundle does in topology. A sufficient condition is given in order that the canonical map of the base of the fibering into the classifying domain is injective. Some applications of it are also given.References
- Soji Kaneyuki, On the automorphism groups of homogeneuous bounded domains, J. Fac. Sci. Univ. Tokyo Sect. I 14 (1967), 89–130 (1967). MR 227472
- Soji Kaneyuki, Homogeneous bounded domains and Siegel domains, Lecture Notes in Mathematics, Vol. 241, Springer-Verlag, Berlin-New York, 1971. MR 0338467
- I. I. Pjateckiĭ-Šapiro, The geometry and classification of bounded homogeneous regions, Uspehi Mat. Nauk 20 (1965), no. 2 (122), 3–51 (Russian). MR 0196131
- I. I. Pyateskii-Shapiro, Automorphic functions and the geometry of classical domains, Mathematics and its Applications, Vol. 8, Gordon and Breach Science Publishers, New York-London-Paris, 1969. Translated from the Russian. MR 0252690 —, Geometry of classical domains and theory of automorphic functions, Fizmatgiz, Moscow, 1961; French transl., Dunod, Paris, 1966. MR 25 #231; 33 #5949.
- Tadashi Tsuji, On infinitesmal automorphisms and homogeneous Siegel domains over circular cones, Proc. Japan Acad. 49 (1973), 390–393. MR 374501
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 283-288
- MSC: Primary 32M10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0404714-4
- MathSciNet review: 0404714