Curvature of invariant metrics on Pyatetskii-Shapiro's generalized homogeneous domains |
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Authors: | Maria J Druetta |
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Institution: | (1) Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina |
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Abstract: | We study the curvature of invariant metrics on the generalization of the classical homogeneous domain of Pyatetskii-Shapiro, as given by D'Atri in 3]. We obtain all invariant Kähler metrics of either, nonpositive sectional curvature or nonpositive holomorphic sectional curvature, and determine the corresponding connected groups of isometries in each case. This yields a continuous family of nonsymmetric homogeneous Kähler metrics with nonpositive curvature.Supported in part by CONICOR and SECyT (UNC). |
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Keywords: | Invariant Kä hler metrics nomal j-algebras |
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