New examples of indefinite hyper-Kaehler symmetric spaces

Details New examples of indefinite hyper-Kaehler symmetric spaces New examples of indefinite hyper-Kaehler symmetric spaces

2005-03-11

arxiv.org/abs/math/0503220v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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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