Harmonic morphisms on heaven spaces
classification
🧮 math.DG
keywords
conformalharmonicheavenmanifoldanalyticcomplexextendedhorizontally
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We prove that any (real or complex) analytic horizontally conformal submersion from a three-dimensional conformal manifold M to a two-dimensional conformal manifold N can be, locally, `extended' to a unique harmonic morphism from the heaven space of M to N.
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