On three-dimensional Weyl structures with reduced holonomy

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

10.1088/0264-9381/23/3/003

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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