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Abstract: This article deals with the problem of analyticity of Bergman isometries. One of the most important properties of the Bergman metric of a bounded domain is that it is invariant under the action of the group of biholomorphic maps. One then can ask if all the isometries are indeed complex analytic up to an obvious complex conjugation. There are several affermative answers to this question. In the present work, we study the case of convex polyhedral domains in C (Update)
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BibTeX entry: (Update)
@misc{ pagano-bergman,
author = "Andrea Pagano",
title = "Bergman Isometries Between Convex Domains In C² Which Are Polyhedral",
url = "citeseer.ist.psu.edu/pagano97bergman.html" }
Citations (may not include all citations):122 Foundations of Differential Geometry (context) - Kobayashi, Nomizu - 1969
19 Function Theory of Several Complex Variables (context) - Krantz - 1992
15 Algebraic Structure of Symmetric Domains (context) - Satake - 1980
13 The kernel function and conformal mapping (context) - Bergman - 1950
9 Function theory on manifolds which possess a pole (context) - Greene, Wu - 1979
2 Boundary Behavior of the Bergman Curvature in Strictly pseud.. (context) - Kim, Yu - 1994
2 the Bergman metric near the boundary and the Kobayashi metri.. (context) - Klembeck, of et al. - 1978
2 Deformation of complex structures (context) - Greene, Krantz - 1982
1 Boundary behavior of the Bergman Curvature and applications (context) - Kim - 1992
1 On automorphisms of Kahlerian structures (context) - Kobayashi, Nomizu - 1957
1 Analyticity of Bergman Isometries (context) - Pagano - 1994
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