Positive \(\partial\bar\partial\)-closed currents and non-Kähler geometry

DOI10.1007/BF02934583zbMath0735.32008MaRDI QIDQ811498

Lucia Alessandrini, Giovanni Bassanelli

Publication date: 1992

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Kähler manifoldmodificationspositive \(\partial\bar\partial\)-closed currents

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Integration on analytic sets and spaces, currents (32C30)

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Strongly Gauduchon spaces ⋮ Polynomial hulls and positive currents ⋮ Correnti positive: Uno strumento per l’analisi globale su varietà complesse ⋮ Forms and currents defining generalized \(p\)-Kähler structures ⋮ POWER SERIES PROOFS FOR LOCAL STABILITIES OF KÄHLER AND BALANCED STRUCTURES WITH MILD -LEMMA ⋮ Product of generalized \(p\)-Kähler manifolds ⋮ A Liouville theorem for plurisubharmonic currents ⋮ Several special complex structures and their deformation properties ⋮ Rational curves and special metrics on twistor spaces ⋮ Wedge product of positive currents and balanced manifolds ⋮ HOLOMORPHIC AND KILLING VECTOR FIELDS ON COMPACT BALANCED HERMITIAN MANIFOLDS ⋮ Harmonic and holomorphic 1-forms on compact balanced Hermitian manifolds ⋮ Proper modifications of generalized \(p\)-Kähler manifolds ⋮ Special metrics on compact complex manifolds ⋮ Complex balanced spaces ⋮ Relations between the Kähler cone and the balanced cone of a Kähler manifold ⋮ On local stabilities of -Kähler structures ⋮ 1-convex manifolds are \(p\)-Kähler

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