Toric self-dual Einstein metrics as quotients
Differential Geometry
2015-06-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0311145,
title = {Toric self-dual Einstein metrics as quotients},
author = {Charles P. Boyer and David M. J. Calderbank and Krzysztof Galicki and Paolo Piccinni},
journal= {arXiv preprint arXiv:math/0311145},
year = {2015}
}
Comments
30 pages