Explicit harmonic morphisms and $p$-harmonic functions from the complex and quaternionic Grassmannians
Differential Geometry
2023-08-22 v5
Abstract
We construct explicit complex-valued -harmonic functions and harmonic morphisms on the classical compact symmetric complex and quaternionic Grassmannians. The ingredients for our construction method are joint eigenfunctions of the classical Laplace-Beltrami and the so called conformality operator. A known duality principle implies that these -harmonic functions and harmonic morphisms also induce such solutions on the Riemannian symmetric non-compact dual spaces.
Cite
@article{arxiv.2007.14819,
title = {Explicit harmonic morphisms and $p$-harmonic functions from the complex and quaternionic Grassmannians},
author = {Elsa Ghandour and Sigmundur Gudmundsson},
journal= {arXiv preprint arXiv:2007.14819},
year = {2023}
}