Metrizability of connections on two-manifolds

Alena Vanžurová; Petra Žáčková

Displaying similar documents to “Metrizability of connections on two-manifolds”

Theorems concerning certain special tensor fields on Riemannian manifolds and their applications.

Konopka, Czesław (1993)

Publications de l'Institut Mathématique. Nouvelle Série

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On metrizability of locally homogeneous affine 2-dimensional manifolds

Alena Vanžurová (2013)

Archivum Mathematicum

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In [19] we proved a theorem which shows how to find, under particular assumptions guaranteeing metrizability (among others, recurrency of the curvature is necessary), all (at least local) pseudo-Riemannian metrics compatible with a given torsion-less linear connection without flat points on a two-dimensional affine manifold. The result has the form of an implication only; if there are flat points, or if curvature is not recurrent, we have no good answer in general, which can be also...