On one class of holonomy groups in pseudo-Riemannian geometry

We describe a new class of holonomy groups on pseudo-Riemannian manifolds. Namely, we prove the following theorem. Let g be a nondegenerate bilinear form on a vector space V, and L:V -> V a g-symmetric operator. Then the identity component of the centraliser of L in SO(g) is a holonomy group for...

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Bibliographic Details
Main Authors: Alexey Bolsinov, Dragomir Tsonev
Format: Default Article
Published: 2014
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Online Access:https://hdl.handle.net/2134/21604
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