On one class of holonomy groups in pseudo-Riemannian geometry
journal contribution
posted on 2016-06-13, 09:11 authored by Alexey BolsinovAlexey Bolsinov, Dragomir TsonevWe 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.
History
School
- Science
Department
- Mathematical Sciences
Citation
BOLSINOV, A.V. and TSONEV, D., 2014. On one class of holonomy groups in pseudo-Riemannian geometry.arXiv:1107.2361v2 [math.DG]Publisher
arXiv.orgVersion
- SMUR (Submitted Manuscript Under Review)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2014Notes
This pre-print was submitted to arXiv on 31st January 2014. The paper was later revised and published as a journal article, the details are: BOLSINOV, A.V. and TSONEV, D., 2014. On a new class of holonomy groups in pseudo-Riemannian geometry. Journal of Differential Geometry, 97 (3), pp.377-394Publisher version
Language
- en
