On holonomy of Weyl connections in Lorentzian signature
Andrei Dikarev
TL;DR
This paper classifies the holonomy algebras of Weyl connections in Lorentzian geometry and constructs examples for each possible algebra, advancing understanding of their geometric structures.
Contribution
It provides a complete classification of holonomy algebras for Lorentzian Weyl connections and explicit examples for each case, which was previously unknown.
Findings
Complete classification of holonomy algebras
Explicit examples for all classified algebras
Enhanced understanding of Lorentzian Weyl geometries
Abstract
Holonomy algebras of Weyl connections in Lorentzian signature are classified. In particular, examples of Weyl connections with all possible holonomy algebras are constructed.
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