Action d'une forme réelle d'un groupe de Lie complexe sur les fonctions plurisousharmoniques

DOI10.5802/aif.1028zbMath0563.32013OpenAlexW2316114279MaRDI QIDQ1057406

Jean-Jacques Loeb

Publication date: 1985

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_4_59_0

zbMATH Keywords

plurisubharmonic functionStein spacenonexistence of Kähler metricpseudoconvex complex Lie grouppure imaginary spectrum

Mathematics Subject Classification ID

General properties and structure of complex Lie groups (22E10) Complex Lie groups, group actions on complex spaces (32M05) Stein spaces (32E10) Plurisubharmonic functions and generalizations (32U05) Geometric convexity in several complex variables (32F99)

Related Items (17)

Classes of non-Kähler, locally conformally Kähler manifolds ⋮ Group actions and envelopes of holomorphy ⋮ Invariant holomorphic extension in several complex variables ⋮ Pseudoconvex domains spread over complex homogeneous manifolds ⋮ The minimum principle on the sequential complete local convex spaces ⋮ Compact CR-solvmanifolds as Kähler obstructions ⋮ Positivity of direct images of positively curved volume forms ⋮ Unnamed Item ⋮ Invariant domains of holomorphy: twenty years later ⋮ The volume of Kähler-Einstein Fano varieties and convex bodies ⋮ Quotients of the crown domain by a proper action of a cyclic group ⋮ COMPLEXIFICATIONS OF HOLOMORPHIC ACTIONS AND THE BERGMAN METRIC ⋮ Minimum principle for plurisubharmonic functions and related topics ⋮ Positivity of character subbundles and minimum principle for noncompact group actions ⋮ Homogeneous Cauchy-Riemann manifolds and holomorphic envelopes ⋮ Invariant domains in the complexification of a noncompact Riemannian symmetric space ⋮ On holomorphically separable complex solv-manifolds

Cites Work

• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• The partial Legendre transformation for plurisubharmonic functions
• On non-compact complex nil-manifolds
• Representations of solvable Lie algebras
• Growth of connected locally compact groups
• Sur certains espaces fibrés holomorphes sur une variété de Stein
• Morse Theory. (AM-51)
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