New examples of indefinite hyper-Kähler symmetric spaces
نویسندگان
چکیده
منابع مشابه
New examples of indefinite hyper-Kähler symmetric spaces
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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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2007
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2007.02.004