The geometry of Grauert tubes and complexification of symmetric spaces

DOI10.1215/S0012-7094-03-11833-5zbMath1044.53039arXivmath/0109186OpenAlexW2096497496MaRDI QIDQ1409317

Stefan Halverscheid, Daniel M. jun. Burns, Richard Hind

Publication date: 13 October 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109186

zbMATH Keywords

Stein manifoldsymmetric spaceGrauert domain

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Stein manifolds (32Q28) Differential geometry of symmetric spaces (53C35)

Related Items (16)

Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces ⋮ Equivalence of domains arising from duality of orbits on flag manifolds III ⋮ An inversion formula for the Segal-Bargmann transform on a symmetric space of non-compact type ⋮ On closures of cycle spaces of flag domains ⋮ Isometry theorem for the Segal-Bargmann transform on a noncompact symmetric space of the complex type ⋮ Complexifications of geodesic flows and adapted complex structures ⋮ The adapted hyper-Kähler structure on the crown domain ⋮ Quotients of the crown domain by a proper action of a cyclic group ⋮ Complex extensions of semisimple symmetric spaces ⋮ Minimum principle for plurisubharmonic functions and related topics ⋮ Maximal complexifications of certain homogeneous Riemannian manifolds ⋮ Holomorphic extension of eigenfunctions ⋮ Symmetries of cosmological Cauchy horizons with non-closed orbits ⋮ Pseudoconcavity of flag domains: the method of supporting cycles ⋮ The parameter space of orbits of a maximal compact subgroup acting on a flag manifold ⋮ Real Group Orbits on Flag Manifolds

Cites Work

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