The Einstein-Weyl equations in complex and quaternionic geometry
type: Item
instance of: scholarly article
title: The Einstein-Weyl equations in complex and quaternionic geometry
zbMATH Open document ID: 0788.53039
DOI: 10.1016/0926-2245(93)90009-P
published in: Differential Geometry and its Applications
publication date: 1994-05-24T00:00:00Z
review text: Einstein-Weyl manifolds with compatible complex structures are shown to be given as torus bundles on Kähler-Einstein manifolds, extending known results on locally conformal Kähler manifolds. The Weyl structure is derived from a Ricci-flat metric constructed by Calabi on the canonical bundle of the Kähler-Einstein manifold. Similar questions are addressed when the Weyl geometry admits compatible hypercomplex or quaternionic structures.
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 527413
zbMATH Keywords: Einstein-Weyl manifolds
zbMATH Keywords: complex structures
zbMATH Keywords: Kähler-Einstein manifolds
Wikidata QID: Q115362717
author: Henrik Pedersen
author: Yat-Sun Poon
author: Andrew Swann
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 527413