New examples of indefinite hyper-Kaehler symmetric spaces

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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.
20 pages

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Differential Geometry, Representation Theory, 53C26; 53C35

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http://salesiana.dossiersoluciones.com/handle/123456789/74467

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503220
 http://arxiv.org/abs/math/0503220

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arXiv