This paper presents homogeneous CR hypersurfaces satisfying the CR-invariant property of being k-nondegenerate for an arbitrary integer k≥1. The construction of such homogeneous manifolds is based on CR algebras defined by irreducible representations of su(2). An explicit study of the iterated Levi forms with their respective kernels, along with the local model equation, is given.
On homogeneous CR manifolds of arbitrary order of Levi nondegeneracy / Marini, S., Medori, C.. - In: COMPLEX ANALYSIS AND ITS SYNERGIES. - ISSN 2524-7581. - 12:1(2026). [10.1007/s40627-025-00190-0]
On homogeneous CR manifolds of arbitrary order of Levi nondegeneracy
Marini, Stefano;Medori, Costantino
2026-01-01
Abstract
This paper presents homogeneous CR hypersurfaces satisfying the CR-invariant property of being k-nondegenerate for an arbitrary integer k≥1. The construction of such homogeneous manifolds is based on CR algebras defined by irreducible representations of su(2). An explicit study of the iterated Levi forms with their respective kernels, along with the local model equation, is given.File in questo prodotto:
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