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arXiv · 2506.00897

On Homogeneous CR Manifolds of Arbitrary Order of Levi Nondegeneracy

Stefano Marini·Costantino Medori
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Abstract

This paper present homogeneous CR hypersurfaces satisfying the $CR$-invariant property of being $k$-nondegenerate for an arbitrary integer $k\geq 1$. The construction of such homogeneous manifolds are based on $CR$ algebras defined by irreducible representations of $\mathfrak{su}(2)$. An explicit study of the iterated Levi forms with their respective kernels, along with the local model equation, is given.

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Stefano Marini, Costantino Medori. 2025-06-01. On Homogeneous CR Manifolds of Arbitrary Order of Levi Nondegeneracy. https://arxiv.org/abs/2506.00897

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