TY - JOUR
T1 - Explicit harmonic morphisms and p-harmonic functions from the complex and quaternionic Grassmannians
AU - Gudmundsson, Sigmundur
AU - Ghandour, Elsa
PY - 2023/8/24
Y1 - 2023/8/24
N2 - We construct explicit complex-valued p-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 p-harmonic functions and harmonic morphisms also induce such solutions on the Riemannian symmetric non-compact dual spaces.
AB - We construct explicit complex-valued p-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 p-harmonic functions and harmonic morphisms also induce such solutions on the Riemannian symmetric non-compact dual spaces.
KW - harmonic morphisms, p-harmonic functions, Grassmannian manifolds
U2 - 10.1007/s10455-023-09919-8
DO - 10.1007/s10455-023-09919-8
M3 - Article
SN - 1572-9060
VL - 64
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
IS - 2
M1 - 15
ER -