Riemannian manifolds with a parallel field of complex planes

DOI10.1007/BF01951197zbMath0479.53036WikidataQ115393032 ScholiaQ115393032MaRDI QIDQ1162008

Izu Vaisman

Publication date: 1981

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

Dolbeault cohomologyBetti numbersharmonic formsparallel field of complex planespartially Kaehler manifoldsreducible Riemannian manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global Riemannian geometry, including pinching (53C20) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (1)

Foliate partial holomorphic structures on principal bundles

Cites Work

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• The structure of a Riemannian manifold admitting a parallel field of tangent vector subspaces
• Deformation theory for holomorphic foliations
• Exotic characteristic classes and subfoliations
• Geometry of manifolds with structural group \(\mathcal U(n)\times\mathcal O(s)\)
• A generalization of Kaehler geometry
• Harmonic Integrals on Almost Product Manifolds
• Complex-Foliated Structures. I. Cohomology of the Dolbeault-Kostant Complexes
• On the Cohomology Groups of a Polarisation and Diagonal Quantisation

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