New examples of indefinite hyper-Kähler symmetric spaces
نویسنده
چکیده
Following the approach to pseudo-Riemannian symmetric spaces developed in [KO2] 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). Such spaces exist if and only if n ∈ {0, 1, 3}.
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