Locally conformally Kähler metrics on Kato surfaces

DOI10.1215/00277630-1260450zbMath1227.32026arXiv1001.0530OpenAlexW2963984583MaRDI QIDQ3016239

Marco Brunella

Publication date: 14 July 2011

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0530

zbMATH Keywords

compact complex surfacesKato surfacesconformally Kähler surfaces

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Compact complex surfaces (32J15) Uniformization of complex manifolds (32Q30)

Related Items (17)

Morse-Novikov cohomology of locally conformally Kähler surfaces ⋮ Bi-Hermitian metrics on Kato surfaces ⋮ Toric Kato manifolds ⋮ Positivity of LCK potential ⋮ Isometric immersions of locally conformally Kähler manifolds ⋮ Twisted differentials and Lee classes of locally conformally symplectic complex surfaces ⋮ Do products of compact complex manifolds admit LCK metrics? ⋮ Lee classes on LCK manifolds with potential ⋮ On a question of Vaisman concerning complex surfaces ⋮ Holomorphic submersions of locally conformally Kähler manifolds ⋮ Donaldson theory in non-Kählerian geometry ⋮ On the stability of locally conformal Kähler structures ⋮ The spectral sequence of the canonical foliation of a Vaisman manifold ⋮ Locally conformally symplectic and Kähler geometry ⋮ Locally conformally Kähler structures on four-dimensional solvable Lie algebras ⋮ Classification of non-Kähler surfaces and locally conformally Kähler geometry ⋮ The Chern–Ricci flow on complex surfaces

Cites Work

• Locally conformally Kähler metrics on certain non-Kählerian surfaces
• On the metric structure of non-Kähler complex surfaces
• Structure des surfaces de Kato
• Compact complex manifolds containing “global” spherical shells

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