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.