Metrisability of two-dimensional projective structures

Date

2009

Authors

Bryant, Robert
Dunajski, Maciej
Eastwood, Michael

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Publisher

Lehigh University

Abstract

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

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Citation

Source

Journal of Differential Geometry

Type

Journal article

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DOI

Restricted until

2037-12-31