Area of intrinsic graphs in homogeneous groups
Metric Geometry
2026-03-19 v2
Abstract
We establish an area formula for the spherical measure of intrinsic graphs of any codimension in homogeneous groups. Our approach relies on the assumption that the map defining the intrinsic graph is continuously intrinsically differentiable. The main novelty is a notion of Jacobian defined using an auxiliary scalar product.
Keywords
Cite
@article{arxiv.2311.06638,
title = {Area of intrinsic graphs in homogeneous groups},
author = {Francesca Corni and Valentino Magnani},
journal= {arXiv preprint arXiv:2311.06638},
year = {2026}
}
Comments
45 pages. Bibliography and exposition updated. No changes to the proofs