Examples of non-trivial rank in locally conformal Kähler geometry

DOI10.1007/s00209-010-0791-5zbMath1242.32011arXiv1001.4891OpenAlexW3099212387MaRDI QIDQ663254

Maurizio Parton, Victor Vuletescu

Publication date: 14 February 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4891

zbMATH Keywords

Lee formlocally conformal Kähler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (11)

LCK rank of locally conformally Kähler manifolds with potential ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Isometric immersions of locally conformally Kähler manifolds ⋮ Holomorphic submersions of locally conformally Kähler manifolds ⋮ Example of a six-dimensional LCK solvmanifold ⋮ Locally conformally symplectic and Kähler geometry ⋮ Curves on the Oeljeklaus-Toma manifolds ⋮ Oeljeklaus-Toma manifolds and arithmetic invariants ⋮ Rigidity of Oeljeklaus-Toma manifolds ⋮ Flat affine subvarieties in Oeljeklaus-Toma manifolds ⋮ De Rham and twisted cohomology of Oeljeklaus-Toma manifolds

Cites Work

• Reduction of Vaisman structures in complex and quaternionic geometry
• Locally conformal Kähler manifolds with potential
• Morse-Novikov cohomology of locally conformally Kähler manifolds
• On locally conformal almost Kaehler manifolds
• Non-Kähler compact complex manifolds associated to number fields.
• Locally conformal Kähler reduction

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