CR-harmonic maps
Differential Geometry
2023-06-22 v3
Abstract
We develop the notion of renormalized energy in CR geometry, for maps from a strictly pseudoconvex pseudohermitian manifold to a Riemannian manifold. This energy is a CR invariant functional, whose critical points, which we call CR-harmonic maps, satisfy a CR covariant subelliptic partial differential equation. The corresponding operator coincides on functions with the CR Paneitz operator.
Keywords
Cite
@article{arxiv.1811.02989,
title = {CR-harmonic maps},
author = {Gautier Dietrich},
journal= {arXiv preprint arXiv:1811.02989},
year = {2023}
}