English

CR embeddings of nilpotent Lie groups

Complex Variables 2024-03-06 v2 Differential Geometry

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.

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Cite

@article{arxiv.2210.07515,
  title  = {CR embeddings of nilpotent Lie groups},
  author = {M. G. Cowling and M. Ganji and A. Ottazzi and G. Schmalz},
  journal= {arXiv preprint arXiv:2210.07515},
  year   = {2024}
}

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R2 v1 2026-06-28T03:37:03.330Z