2025/06/01 by Marini, Stefano, Medori, Costantino
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2506.00897
This paper present homogeneous CR hypersurfaces satisfying the CR-invariant property of being k-nondegenerate for an arbitrary integer k≥ 1. The construction of such homogeneous manifolds are based on CR algebras defined by irreducible representations of \mathfraksu(2). An explicit study of the iterated Levi forms with their respective kernels, along with the local model equation, is given.