Canonical complex structures associated to connections and complexifications of Lie groups

DOI10.1007/s00208-004-0525-2zbMath1074.53013OpenAlexW2163248182WikidataQ115388982 ScholiaQ115388982MaRDI QIDQ1889456

Róbert Szőke

Publication date: 2 December 2004

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

Full work available at URL: https://doi.org/10.1007/s00208-004-0525-2

zbMATH Keywords

Levi-Civita connectionpseudo-Riemannian manifold

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Complex manifolds (32Q99) Lie groups (22E99) Connections (general theory) (53C05)

Related Items (8)

Adapted complex tubes on the symplectization of pseudo-Hermitian manifolds ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds. II ⋮ A Cartan type identity for isoparametric hypersurfaces in symmetric spaces ⋮ COMPLEX CROWNS OF SYMMETRIC SPACES ⋮ Holomorphic geometric models for representations of \(C^*\)-algebras ⋮ Complex extensions of semisimple symmetric spaces ⋮ Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds ⋮ Projective geometry and the quaternionic Feix–Kaledin construction

Cites Work

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• Quelques propriétés fondamentales des ensembles analytiques-réels
• Stein manifolds with compact symmetric center
• Groupes de Lie munis de métriques bi-invariantes. (Lie groups admitting bi-invariant metrics)
• Jacobi tensors and Ricci curvature
• Grauert tubes and the homogeneous Monge-Ampère equation
• Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds
• Complex structures on tangent bundles of Riemannian manifolds
• Conjugate points on spacelike geodesics or pseudo-self-adjoint Morse-Sturm-Liouville systems
• The isometry group of a compact Lorentz manifold. I
• Complexifications of nonnegatively curved manifolds
• Curvatures of Monge-Ampère foliations and parabolic manifolds
• Singular Monge-Ampère foliations
• Automorphisms of certain Stein manifolds
• Globalizations, fiber bundles, and envelopes of holomorphy
• The representations of the oscillator group
• Continuing analytic sets across \(\mathbb{R}^ n\)
• Holomorphic extensions of representations. II: Geometry and harmonic analysis
• Gauge field theory coherent states (GCS): I. General properties
• COMPLEX EXTENSIONS
• Invariant quadratic forms on finite dimensional lie algebras
• Adapted complex structures and Riemannian homogeneous spaces
• Equivariant holomorphic extensions of real analytic manifolds
• Maximal complexifications of certain homogeneous Riemannian manifolds
• Reality conditions inducing transforms for quantum gauge field theory and quantum gravity
• Representations of a Semisimple Lie Group on a Banach Space. I
• Invariant Affine Connections on Homogeneous Spaces
• Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev
• Involutive structures in the tangent bundle of symmetric spaces
• Symplectic reduction and the homogeneous complex Monge-Ampère equation

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