Local obstructions to a conformally invariant equation on Möbius surfaces (Q2636737)

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Local obstructions to a conformally invariant equation on Möbius surfaces
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    Local obstructions to a conformally invariant equation on Möbius surfaces (English)
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    31 January 2014
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    The author considers Riemannian surfaces equipped with a Möbius structure as introduced in [\textit{D. M. J. Calderbank}, J. Reine Angew. Math. 504, 37--53 (1998; Zbl 0909.53029)]. A conformally invariant equation, the scalar-flat Möbius Einstein-Weyl (sf-MEW) equation is investigated. Algebraic obstructions for a given Möbius structure to admit a solution of this equation are derived.
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    conformally invariant equation
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    Möbius structure
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    Möbius surface
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