On weak holonomy

Details On weak holonomy On weak holonomy

2004-03-27

arxiv.org/abs/math/0403479v2

Mathematics

Differential Geometry

17 pages, LATEX; two references added

Scientific paper

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.

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