On three-dimensional Weyl structures with reduced holonomy
classification
🧮 math.DG
keywords
structuresholonomylistreducedweylcartancorresponddimensional
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Cartan's list of 3-dimensional Weyl structures with reduced holonomy is revisited. We show that the only Einstein-Weyl structures on this list correspond to the structures generated by the solutions of the dKP equation.
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