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Metrisability of two-dimensional projective structures

Bryant, Robert; Dunajski, Maciej; Eastwood, Michael


We carry out the programme of R. Liouville [19] to construct an explicit local obstruction to the existence of a Levi-Civita connection within a given projective structure [Γ] on a surface. The obstruction is of order 5 in the components of a connection

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Journal of Differential Geometry


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