Explicit $p$-harmonic functions on the real Grassmannians

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.

arXiv commentarXiv admin note: text overlap with arXiv:2007.14819