2024
DOI: 10.1088/1361-6382/ad5c35
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Metrizability of S O ( 3 ) -invariant connections: Riemann versu

N Voicu,
S G Elgendi

Abstract: For a torsion-free affine connection on a given manifold, which does not necessarily arise as the Levi-Civita connection of any pseudo-Riemannian metric, it is still possible that it corresponds in a canonical way to a Finsler structure; this property is known as Finsler (or Berwald-Finsler) metrizability.
In the present paper, we clarify, for 4-dimensional SO(3)-invariant, Berwald-Finsler metrizable connections, the issue of the existence of an affinely equivalent pseudo-Riemannian structure. In parti… Show more

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