Hyper-Hermitian metrics with symmetry

DOI10.1016/S0393-0440(97)00032-6zbMath0945.53042MaRDI QIDQ1299139

Paul Gauduchon, K. Paul Tod

Publication date: 3 October 2000

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

zbMATH Keywords

Einstein-Weyl spacehyper-Hermitian manifoldtriholomorphic Killing vector field

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of global differential geometry to the sciences (53C80) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

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Cites Work

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• La 1-forme de torsion d'une variété hermitienne compacte
• Conformal duality and compact complex surfaces
• Three-dimensional Einstein-Weyl geometry
• Riemannian Submersions, Four-Manifolds and Einstein-Weyl Geometry
• Minitwistor spaces and Einstein-Weyl spaces
• A Note on Hyperhermitian Four-Manifolds
• Compact 3-Dimensional Einstein-Weyl Structures
• Self-duality in four-dimensional Riemannian geometry
• Einstein-Weyl spaces and SU(∞) Toda fields
• Structures de Weyl-Einstein, espace de twisteurs et variétés de type S1 x S3.
• Sur une classe d'espaces de Weyl
• Compact four-dimensional Einstein manifolds

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