Calabi's inhomogeneous Einstein manifold is globally symplectomorphic to \(\mathbb R^{2n}\)

DOI10.1016/j.difgeo.2012.03.001zbMath1239.53099arXiv1105.5519OpenAlexW2056710917WikidataQ115356735 ScholiaQ115356735MaRDI QIDQ417644

Andrea Loi, Michela Zedda

Publication date: 14 May 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5519

zbMATH Keywords

Darboux theoremKähler metricssymplectic coordinatesCalabi's inhomogeneous Einstein metric

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20)

Related Items

Global symplectic coordinates on gradient Kähler-Ricci solitons

Cites Work

• A remarkable symplectic structure
• Symplectic maps of complex domains into complex space forms
• The symplectic structure of Kähler manifolds of non-positive curvature
• Symplectic duality of symmetric spaces
• Global symplectic coordinates on complex domains
• Isometric imbedding of complex manifolds
• Partial Differential Relations
• On Calabi's Inhomogeneous Einstein-Kaehler Manifolds