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Local obstructions to a conformally invariant equation on M?bius surfaces

Randall, Matthew


On a Möbius surface, as defined in [1], we study a variant of the Einstein–Weyl (EW) equation which we call scalar-flat Möbius EW (sf-MEW). This is a conformally invariant, finite type, overdetermined system of semi-linear partial differential equations. We derive local algebraic constraints for this equation to admit a solution and give local obstructions. In the generic case when a certain invariant of the Möbius structure given by a symmetric tensor Mab is non-zero, the obstructions are...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Differential Geometry and its Applications
DOI: 10.1016/j.difgeo.2013.10.014


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