On the geodesics of the Bergman metric

DOI10.1007/BF01458049zbMath0497.32022OpenAlexW2036451932MaRDI QIDQ1170675

Gregor Herbort

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163769

zbMATH Keywords

closed geodesicsgeodesic spiralhomotopy class of closed curvespseudoconvex bounded domain with Bergman metric

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Geodesics in global differential geometry (53C22) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

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Some remarks on the Kobayashi-Fuks metric on strongly pseudoconvex domains ⋮ Remarks on the metric induced by the Robin function III ⋮ Existence of geodesic spirals for the Kobayashi-Fuks metric on planar domains ⋮ THE PLURICOMPLEX GREEN FUNCTION ON PSEUDOCONVEX DOMAINS WITH A SMOOTH BOUNDARY ⋮ Comments on the Green's function of a planar domain ⋮ RIEMANNIAN GEOMETRY OF HARTOGS DOMAINS

Cites Work

• A construction of peak functions on weakly pseudoconvex domains
• Biholomorphic maps of weakly pseudoconvex domains
• Deformations of strictly pseudoconvex domains
• Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
• A remark on the completeness of the Bergman metric
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Homologie singulière des espaces fibrés. Applications
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