Local obstructions to a conformally invariant equation on M?bius surfaces
On a Möbius surface, as defined in , 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]
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|Source:||Differential Geometry and its Applications|
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