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An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups

Differential Geometry 2022-08-24 v1 Analysis of PDEs

Abstract

In this paper, we consider the Rumin complex on homogenenous nilpotent Lie groups. We present an alternative construction to the classical one on Carnot groups using ideas from parabolic geometry. We also give the explicit computations for the Engel group with this approach.

Keywords

Cite

@article{arxiv.2208.11118,
  title  = {An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups},
  author = {Veronique Fischer and Francesca Tripaldi},
  journal= {arXiv preprint arXiv:2208.11118},
  year   = {2022}
}

Comments

28 pages