Maximal complexifications of certain homogeneous Riemannian manifolds

DOI10.1090/S0002-9947-03-03263-XzbMath1039.32009arXivmath/0206071OpenAlexW1498677384WikidataQ115289110 ScholiaQ115289110MaRDI QIDQ4419587

Andrea Iannuzzi, Stefan Halverscheid

Publication date: 13 August 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206071

zbMATH Keywords

homogeneous spacesadapted complex structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Complex Lie groups, group actions on complex spaces (32M05) Stein manifolds (32Q28) Embedding of real-analytic manifolds (32C09)

Related Items (2)

Canonical complex structures associated to connections and complexifications of Lie groups ⋮ Complex extensions of semisimple symmetric spaces

Cites Work

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• Stein manifolds with compact symmetric center
• 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
• On non-compact complex nil-manifolds
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• The geometry of Grauert tubes and complexification of symmetric spaces
• On Stein extensions of real symmetric spaces
• Reductive group actions on Stein spaces
• Globalizations, fiber bundles, and envelopes of holomorphy
• On envelops of holomorphy
• Adapted complex structures and Riemannian homogeneous spaces
• Equivariant holomorphic extensions of real analytic manifolds
• Symplectic reduction and the homogeneous complex Monge-Ampère equation

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