English

Explicit $p$-harmonic functions on the real Grassmannians

Differential Geometry 2023-07-27 v5

Abstract

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

Cite

@article{arxiv.2103.08768,
  title  = {Explicit $p$-harmonic functions on the real Grassmannians},
  author = {Elsa Ghandour and Sigmundur Gudmundsson},
  journal= {arXiv preprint arXiv:2103.08768},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2007.14819

R2 v1 2026-06-24T00:12:41.211Z