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Toric self-dual Einstein metrics as quotients

Charles P. Boyer·David M. J. Calderbank·Krzysztof Galicki·Paolo Piccinni
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Abstract

We use the quaternion Kahler reduction technique to study old and new self-dual Einstein metrics of negative scalar curvature with at least a two-dimensional isometry group, and relate the quotient construction to the hyperbolic eigenfunction Ansatz. We focus in particular on the (semi-)quaternion Kahler quotients of (semi-)quaternion Kahler hyperboloids, analysing the completeness and topology, and relating them to the self-dual Einstein Hermitian metrics of Apostolov-Gauduchon and Bryant.

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BibTeXRIS

Charles P. Boyer, David M. J. Calderbank, Krzysztof Galicki, Paolo Piccinni. 2003-11-10. Toric self-dual Einstein metrics as quotients. https://doi.org/10.1007/s00220-004-1192-6

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