2134/21604 Alexey Bolsinov Alexey Bolsinov Dragomir Tsonev Dragomir Tsonev On one class of holonomy groups in pseudo-Riemannian geometry Loughborough University 2016 untagged Mathematical Sciences not elsewhere classified 2016-06-13 09:11:28 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/On_one_class_of_holonomy_groups_in_pseudo-Riemannian_geometry/9379895 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 a suitable Levi-Civita connection.