The Einstein-Weyl equations in complex and quaternionic geometry

Henrik Pedersen*, Yat Sun Poon, Andrew Swann

*Kontaktforfatter

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36 Citationer (Scopus)

Abstract

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.

OriginalsprogEngelsk
TidsskriftDifferential Geometry and Its Applications
Vol/bind3
Udgave nummer4
Sider (fra-til)309-321
Antal sider13
ISSN0926-2245
DOI
StatusUdgivet - 1993
Udgivet eksterntJa

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