Explicit p-harmonic functions on the real Grassmannians

2021/03/15 by Ghandour, Elsa, Gudmundsson, Sigmundur
#53C35 #53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.08768

Abstract

In this work we use the method of eigenfamilies to construct explicit complex-valued proper p-harmonic functions on the compact real Grassmannians. We also find proper p-harmonic functions on the real flag manifolds which do not descend onto any of the real Grassmannians.

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