Plurisubharmonic functions and Kählerian metrics on complexification of symmetric spaces

DOI10.1016/0019-3577(92)90015-DzbMath0777.32008MaRDI QIDQ2365896

Hassan Azad, Jean-Jacques Loeb

Publication date: 29 June 1993

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Stein manifoldsymmetric spacegroup representationplurisubharmonic functionsreductive groupscomplexificationsheaf cohomologyKählerian metricsquasi potential of a metric

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Kähler manifolds (32Q15) Complex Lie groups, group actions on complex spaces (32M05) Differential geometry of symmetric spaces (53C35) Stein spaces (32E10) Plurisubharmonic functions and generalizations (32U05)

Related Items (18)

K-energy on polarized compactifications of Lie groups ⋮ Cartan decomposition of the moment map ⋮ Quasi-potentials and Kähler-Einstein metrics on flag manifolds ⋮ \(G\)-Sasaki manifolds and K-energy ⋮ Rigidity of automorphism groups of invariant domains in certain Stein homogeneous manifolds ⋮ The geometry of Grauert tubes and complexification of symmetric spaces ⋮ Quasi-potentials and Kähler-Einstein metrics on flag manifolds. II. ⋮ Positivity of direct images of positively curved volume forms ⋮ Ricci flat Kähler metrics on rank two complex symmetric spaces ⋮ Kähler–Einstein Metrics on Toric Manifolds and G-manifolds ⋮ Kähler-Einstein metrics on group compactifications ⋮ On hyperbolicity of \(\mathrm{SU}(2)\)-equivariant, punctured disc bundles over the complex affine quadric ⋮ A characterization of bounded symmetric domains of type IV ⋮ Calabi-Yau structures and special Lagrangian submanifolds of complexified symmetric spaces ⋮ Tian's \(\alpha_{m,k}^{\hat{K}}\)-invariants on group compactifications ⋮ On the complex and convex geometry of Ol'shanskii semigroups ⋮ On the complex geometry of invariant domains in complexified symmetric spaces ⋮ Invariant domains in the complexification of a noncompact Riemannian symmetric space

Cites Work

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• Theta functions of totally degenerate curves
• A new compactification of the Siegel space and degeneration of abelian varieties. I
• A new compactification of the Siegel space and degeneration of Abelian varieties. II
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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