Explicit proper p-harmonic functions on the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n)

2020/08/19 by Gudmundsson, Sigmundur, Siffert, Anna, Sobak, Marko · 1 citation
#31B30 #53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.08555

Abstract

In this work we construct explicit complex-valued p-harmonic functions on the compact Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n). We also describe how the same can be manufactured on their non-compact symmetric dual spaces.

Cited by

• Complete Minimal Submanifolds of the Non-Compact Duals to the Classical Compact Lie Groups

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