Metrisability of three-dimensional path geometries
Differential Geometry seminars, 13th and 19th August 2014
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.
is the arXiv article on which these talks were based.