On one class of holonomy groups in pseudo-Riemannian geometry

Details On one class of holonomy groups in pseudo-Riemannian geometry On one class of holonomy groups in pseudo-Riemannian geometry

2011-07-12

arxiv.org/abs/1107.2361v1

Mathematics

Differential Geometry

Scientific paper

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 centraliser of L
in SO(g) is a holonomy group for a suitable Levi-Civita connection.

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