Metrisability of three-dimensional path geometries
Differential Geometry seminars, 13th and 19th August 2014

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Abstract Given a projective structure on a three-dimensional manifold, we find some explicit obstructions to the local existence of a Levi-Civita connection in the projective class (given as projectively invariant tensors algebraically constructed from the projective Weyl curvature). There will be examples. This is joint work with Maciej Dunajski.

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Here is the arXiv article on which these talks were based.

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