%0 Journal Article %A Bolsinov, Alexey %A Tsonev, Dragomir %D 2016 %T On one class of holonomy groups in pseudo-Riemannian geometry %U https://repository.lboro.ac.uk/articles/journal_contribution/On_one_class_of_holonomy_groups_in_pseudo-Riemannian_geometry/9379895 %2 https://repository.lboro.ac.uk/ndownloader/files/16991420 %K untagged %K Mathematical Sciences not elsewhere classified %X 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. %I Loughborough University