scientific article

zbMath0619.53019MaRDI QIDQ3756095

Marco Andreatta

Publication date: 1987

Full work available at URL: http://www.numdam.org/item?id=CM_1987__61_2_181_0

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zbMATH Keywords

currentsholomorphic submersionsp-Kähler manifoldsholomorphic immersions

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) Complex manifolds (32Q99) Currents in global analysis (58A25)

Related Items (19)

Strongly Gauduchon spaces ⋮ Forms and currents defining generalized \(p\)-Kähler structures ⋮ POWER SERIES PROOFS FOR LOCAL STABILITIES OF KÄHLER AND BALANCED STRUCTURES WITH MILD -LEMMA ⋮ Deformation stability of \(p\)-SKT and \(p\)-HS manifolds ⋮ Product of generalized \(p\)-Kähler manifolds ⋮ On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics ⋮ Families of almost complex structures and transverse \((p, p)\)-forms ⋮ Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics ⋮ Compact complex \(p\)-Kähler hyperbolic manifolds ⋮ Deformations of astheno-Kähler metrics ⋮ Currents on locally conformally Kähler manifolds ⋮ Special metrics on compact complex manifolds ⋮ Complex balanced spaces ⋮ Lelong numbers of positive plurisubharmonic currents ⋮ \(p\)-Kähler and balanced structures on nilmanifolds with nilpotent complex structures ⋮ On local stabilities of -Kähler structures ⋮ 1-convex manifolds are \(p\)-Kähler ⋮ \(p\)-Kähler Lie groups ⋮ Positive \(\partial\bar\partial\)-closed currents and non-Kähler geometry

Cites Work

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• On the existence of special metrics in complex geometry
• An intrinsic characterization of Kähler manifolds
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• Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten
• Fibrés hermitiens à endomorphisme de Ricci non négatif
• Complex Parallisable Manifolds

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