Special metrics on compact complex manifolds

DOI10.1016/S0926-2245(01)00041-9zbMath0981.32014WikidataQ115338301 ScholiaQ115338301MaRDI QIDQ5946125

Nadaniela Egidi

Publication date: 2 April 2002

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

zbMATH Keywords

1-symplecticbalancedholomorphic submersionsKählerpluriclosedplurinegativespecial metrics

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Differential forms in global analysis (58A10) Currents in global analysis (58A25) Classification theorems for complex manifolds (32Q57)

Related Items (max. 100)

Tamed symplectic cones of compact Hermitian-symplectic manifolds ⋮ Forms and currents defining generalized \(p\)-Kähler structures ⋮ Product of generalized \(p\)-Kähler manifolds ⋮ On the cone of strong Kähler with torsion metrics ⋮ Plurisigned hermitian metrics ⋮ Deformations of astheno-Kähler metrics ⋮ Classes of compact non-Kähler manifolds ⋮ On geometric Bott-Chern formality and deformations ⋮ Generalized Kähler manifolds, commuting complex structures, and split tangent bundles ⋮ Deformations of strong Kähler with torsion metrics ⋮ Proper modifications of generalized \(p\)-Kähler manifolds ⋮ Blow-ups and resolutions of strong Kähler with torsion metrics ⋮ \(p\)-Kähler and balanced structures on nilmanifolds with nilpotent complex structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Metric properties of manifolds bimeromorphic to compact Kähler spaces
• On the existence of special metrics in complex geometry
• An intrinsic characterization of Kähler manifolds
• Positive \(\partial\bar\partial\)-closed currents and non-Kähler geometry
• Algebraicity criteria for compact complex manifolds
• A balanced proper modification of \(P_ 3\)
• Spherical shells as obstructions for the extension of holomorphic mappings
• Properties of compact complex manifolds carrying closed positive currents
• Closedness of the Douady spaces of compact Kähler spaces
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• A class of compact, complex manifolds which are not algebraic
• Removable Singularities for Positive Currents
• A cut-off theorem for plurisubharmonic currents
• Compact complex threefolds which are Kähler outside a smooth rational curve
• On 𝑛-dimensional compact complex varieties with 𝑛 algebraically independent meromorphic functions
• On Analytic Surfaces with Two Independent Meromorphic Functions

This page was built for publication: Special metrics on compact complex manifolds