Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894499 | Journal of Geometry and Physics | 2007 | 15 Pages |
Abstract
Following the approach to pseudo-Riemannian symmetric spaces developed in [I. Kath, M. Olbrich, On the structure of pseudo-Riemannian symmetric spaces, arXiv:math.DG/0408249, 2004] we exhibit examples of indefinite hyper-Kähler symmetric spaces with non-abelian holonomy. Moreover, we classify indecomposable hyper-Kähler symmetric spaces whose metric has signature (4,4n)(4,4n). Such spaces exist if and only if n∈{0,1,3}n∈{0,1,3}.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ines Kath, Martin Olbrich,