Harmonic morphisms from four dimensional Lie groups
classification
🧮 math.DG
keywords
groupsdimensionalfoliationsfourharmonicleft-invariantmorphismsclassify
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We consider four dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension two. These foliations produce local complex-valued harmonic morphisms.
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