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arXiv · 1811.02989

CR-harmonic maps

Gautier Dietrich
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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.

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Gautier Dietrich. 2018-11-07. CR-harmonic maps. https://doi.org/10.1017/nmj.2019.40

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