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Zero CR-curvature equations for Levi degenerate hypersurfaces via Pocchiola’s invariants

Zero CR-curvature equations for Levi degenerate hypersurfaces via Pocchiola’s invariants

In articles [8, 9] we studied tube hypersurfaces in ℂ 3 that are 2-nondegenerate and uniformly Levi degenerate of rank 1. In particular, we showed that the vanishing of the CR-curvature of such a hypersurface is equivalent to the Monge equation with respect to one of the variables. In the …