Symplectic duality of symmetric spaces

DOI10.1016/j.aim.2007.10.009zbMath1142.53060arXivmath/0603141OpenAlexW2066404437MaRDI QIDQ2474324

Andrea Loi, Antonio Jose Di Scala

Publication date: 5 March 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603141

zbMATH Keywords

Jordan triple systemsKähler metricsBergman operatorsymplectic coordinatesHermitian bounded domains

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Differential geometry of symmetric spaces (53C35)

Related Items (15)

A Cartan-Hartogs version of the polydisk theorem ⋮ Holomorphic isometries of \({\mathbb {B}}^m\) into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals ⋮ Global symplectic coordinates on gradient Kähler-Ricci solitons ⋮ On the coefficients of TYZ expansion of locally Hermitian symmetric spaces ⋮ Canonical domains for coadjoint orbits ⋮ Calabi's inhomogeneous Einstein manifold is globally symplectomorphic to \(\mathbb R^{2n}\) ⋮ The diastatic exponential of a symmetric space ⋮ A characterization of complex space forms via Laplace operators ⋮ Symplectic maps of complex domains into complex space forms ⋮ The bisymplectomorphism group of a bounded symmetric domain ⋮ On the \(\Delta\)-property for complex space forms ⋮ Symplectic duality between complex domains ⋮ Symplectic geometry of Cartan-Hartogs domains ⋮ Minimal symplectic atlases of Hermitian symmetric spaces ⋮ Equivariant realizations of Hermitian symmetric space of noncompact type

Cites Work

• The Kähler-Einstein metric for some Hartogs domains over symmetric domains
• The bisymplectomorphism group of a bounded symmetric domain
• The symplectic structure of Kähler manifolds of non-positive curvature
• The Minnesota notes on Jordan algebras and their applications. Edited and annotated by Aloys Krieg and Sebastian Walcher
• A taste of Jordan algebras
• The geometry of Jordan and Lie structures
• A symplectic version of Nash \(C^ 1\)-isometric embedding theorem.
• On special submanifolds in symplectic geometry
• Symplectomorphic codimension 1 totally geodesic submanifolds
• Calabi's diastasis function for Hermitian symmetric spaces
• Global symplectic coordinates on complex domains
• Partial Differential Relations
• The Local Structure of a Liouville Vector Field
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