New examples of indefinite hyper-Kaehler symmetric spaces
Differential Geometry
2007-05-23 v1 Representation Theory
Abstract
Following the approach to pseudo-Riemannian symmetric spaces developed in math.DG/0408249 we exhibit examples of indefinite hyper-Kaehler symmetric spaces with non-abelian holonomy. Moreover, we classify indecomposable hyper-Kaehler symmetric spaces whose metric has signature (4,4n). Such spaces exist if and only if n=0,1,3.
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Cite
@article{arxiv.math/0503220,
title = {New examples of indefinite hyper-Kaehler symmetric spaces},
author = {Ines Kath and Martin Olbrich},
journal= {arXiv preprint arXiv:math/0503220},
year = {2007}
}
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20 pages