On weak holonomy

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We prove that SU(n) (n > 2) and Sp(n)U(1) (n > 1) are the only connected Lie groups acting transitively and effectively on some sphere which can be weak holonomy groups of a Riemannian manifold without having to contain its holonomy group. In both cases the manifold is Kaehler.
17 pages, LATEX; two references added

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Differential Geometry, 53C29

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http://salesiana.dossiersoluciones.com/handle/123456789/70623

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403479
 http://arxiv.org/abs/math/0403479

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arXiv