The four-dimensional Goldberg conjecture is true for almost Kähler submersions

DOI10.1007/BF01237487zbMath0979.53081OpenAlexW2117705862WikidataQ122912811 ScholiaQ122912811MaRDI QIDQ1841873

Bill Watson

Publication date: 17 February 2002

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

Full work available at URL: https://doi.org/10.1007/bf01237487

zbMATH Keywords

Einstein spaceGoldberg conjecturealmost Hermitian submersionKähler product

Mathematics Subject Classification ID

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

Cites Work

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• Four-dimensional almost Kähler Einstein manifolds
• Kähler submersions and holomorphic connections
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Almost Hermitian submersions
• Four-dimensional almost Kähler-Einstein and *-Einstein manifolds
• On some 4-dimensional almost Kähler manifolds
• Isometric immersions of warped products
• Some simple examples of almost Kähler non-Kähler structures
• Minimal varieties and almost Hermitian submanifolds
• The fundamental equations of a submersion
• Totally geodesic maps
• Curvature Tensors on Almost Hermitian Manifolds
• Harmonic morphisms between almost Hermitian manifolds
• Integrability of Almost Kaehler Manifolds

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