The moduli space of Kähler structures on a real compact symplectic manifold

DOI10.2977/prims/1195175329zbMath0655.32020OpenAlexW2081056303MaRDI QIDQ1109185

Akira Fujiki, Georg Schumacher

Publication date: 1988

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195175329

zbMATH Keywords

Kähler manifoldsmoduliHilbert manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex-analytic moduli problems (32G13) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Generalizations of analytic spaces (32K99)

Related Items

Exotic deformations of Calabi-Yau manifolds ⋮ Critical associated metrics on a symplectic manifold ⋮ Scalar curvature and deformations of complex structures ⋮ Spaces of Riemannian metrics ⋮ Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics ⋮ The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics ⋮ Identification of Kähler quantizations and the Berry phase ⋮ The moduli space of Fano manifolds with Kähler-Ricci solitons ⋮ Symplectic (-2)-spheres and the symplectomorphism group

Cites Work

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• Moduli of polarized Kähler manifolds
• Infinite dimensional Lie transformation groups
• Non-deformability of Einstein metrics
• Deformation of uniruled manifolds
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Interior estimates for elliptic systems of partial differential equations
• Elliptic Partial Differential Equations of Second Order
• On the Volume Elements on a Manifold
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