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Local obstructions to projective surfaces admitting skew-symmetric Ricci tensor

Randall, Matthew


he equation determining whether a projective structure admits a connection in its given projective class that has skew-symmetric Ricci tensor is an overdetermined system of semi-linear partial differential equations which we call the projective Einstein–Weyl (pEW) equation. In 2-dimensions, we give local obstructions for projective surfaces to admit such a connection in its projective class. The obstructions are the resultants of polynomial equations that have to be satisfied for there to admit...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Journal of Geometry and Physics
DOI: 10.1016/j.geomphys.2013.10.019


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