Calculus of Variations and Geometric Measure Theory

V. Fischer - F. Tripaldi

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

created by tripaldi on 02 Jan 2023



Inserted: 2 jan 2023

Year: 2022

ArXiv: 2208.11118 PDF


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.