Browsing Department of Materials Science and Metallurgy by Subject "Weyl geometry"
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Metrisability of three-dimensional path geometries
(SpringerEuropean Journal of Mathematics, 2016-03-08)Given a projective structure on a three-dimensional manifold, we find explicit obstructions to the local existence of a Levi-Civita connection in the projective class. These obstructions are given by projectively invariant ...