Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/139844
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Type: | Journal article |
Title: | Geometry and holonomy of indecomposable cones |
Author: | Alekseevsky, D. Cortés, V. Leistner, T. |
Citation: | Revista Matematica Iberoamericana, 2023; 39(3):1105-1141 |
Publisher: | EMS Press - European Mathematical Society |
Issue Date: | 2023 |
ISSN: | 0213-2230 2235-0616 |
Statement of Responsibility: | Dmitri Alekseevsky, Vicente Cortés and Thomas Leistner |
Abstract: | We study the geometry and holonomy of semi-Riemannian, time-like metric cones that are indecomposable, i.e., which do not admit a local decomposition into a semi-Riemannian product. This includes irreducible cones, for which the holonomy can be classified, as well as non-irreducible cones. The latter admit a parallel distribution of null k-planes, and we study the cases k = 1 in detail. We give structure theorems about the base manifold and in the case when the base manifold is Lorentzian, we derive a description of the cone holonomy. This result is obtained by a computation of certain cocycles of indecomposable subalgebras in so(1,n - 1). |
Rights: | ©2022 Real Sociedad Matemática Española. Published by EMS Press and licensed under a CC BY 4.0 license |
DOI: | 10.4171/rmi/1330 |
Grant ID: | http://purl.org/au-research/grants/arc/FT110100429 http://purl.org/au-research/grants/arc/DP190102360 |
Published version: | http://dx.doi.org/10.4171/rmi/1330 |
Appears in Collections: | Mathematical Sciences publications |
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hdl_139844.pdf | Published version | 615.95 kB | Adobe PDF | View/Open |
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