2019/01/10 by Isaev, Alexander
#32V05 #32V20 #32W20 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1901.03044
We continue our study, initiated in an earlier article, of a class of rigid hypersurfaces in \mathbb C3 that are 2-nondegenerate and uniformly Levi degenerate of rank 1, having zero CR-curvature. We drop the restrictive assumptions of the earlier paper and give a complete description of the class. Surprisingly, the answer is expressed in terms of solutions of several well-known differential equations, in particular, the equation characterizing conformal metrics with constant negative curvature and a nonlinear ∂-equation.