CR embeddings of nilpotent Lie groups

2022/10/14 by Cowling, M. G., Ganji, M., Ottazzi, A. +1 · 1 citation
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.07515

Abstract

We show that a connected, simply connected nilpotent Lie group with an integrable left-invariant complex structure on a generating and suitably complemented subbundle of the tangent bundle admits a CR embedding in complex space as the edge of a wedge in a complex domain defined by polynomials.

Cited by

• Taylor polynomials on left-quotients of Carnot groups

Related

• Left-invariant CR structures on 3-dimensional Lie groups
• Complex and CR-structures on compact Lie groups associated to Abelian actions
• Kahler, Poisson Geometry of CR Lie groups
• CR embeddings of CR manifolds
• Stability of the embeddability under perturbations of the CR structure for compact CR manifolds