The canonical foliation of a compact generalized Hopf manifold

DOI10.1016/S0926-2245(99)00018-2zbMath0941.53043WikidataQ115337421 ScholiaQ115337421MaRDI QIDQ1303770

Kazumi Tsukada

Publication date: 22 September 1999

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

zbMATH Keywords

foliationlocally conformal Kähler manifoldgeneralized Hopf manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (12)

LCK rank of locally conformally Kähler manifolds with potential ⋮ On piecewise smooth vector fields tangent to nested tori ⋮ Vaisman manifolds and transversally Kähler-Einstein metrics ⋮ Do products of compact complex manifolds admit LCK metrics? ⋮ Lee classes on LCK manifolds with potential ⋮ Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds ⋮ Holomorphic submersions of locally conformally Kähler manifolds ⋮ Transverse Kähler structures on central foliations of complex manifolds ⋮ Existence criteria for special locally conformally Kähler metrics ⋮ Proper holomorphic maps in harmonic map theory ⋮ The spectral sequence of the canonical foliation of a Vaisman manifold ⋮ Creation of limit cycles in piecewise smooth vector fields tangent to nested tori

Cites Work

• Dualité symplectique, feuilletages et géometrie du moment. (Symplectic duality, foliations and moment geometry)
• The canonical foliations of a locally conformal Kähler manifold
• \(d_ f\)-cohomology of Lagrangian foliations
• On V-harmonic forms in compact locally conformal Kähler manifolds with the parallel Lee form
• Foliations on Riemannian manifolds
• On locally conformal almost Kaehler manifolds
• Remarks on torus principal bundles
• Generalized Hopf manifolds
• Complex Analytic Connections in Fibre Bundles
• On Locally and Globally Conformal Kahler Manifolds
• Flat Bundles and Characteristic Classes of Group-Representations
• A global formulation of the Lie theory of transformation groups
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