English

Biharmonic functions on spheres and hyperbolic spaces

Differential Geometry 2018-10-17 v2

Abstract

We construct new explicit proper r-harmonic functions on the standard n-dimensional sphere S^n and hyperbolic space H^n for any r\ge 1 and n\ge 2.

Keywords

Cite

@article{arxiv.1801.01457,
  title  = {Biharmonic functions on spheres and hyperbolic spaces},
  author = {Sigmundur Gudmundsson},
  journal= {arXiv preprint arXiv:1801.01457},
  year   = {2018}
}
R2 v1 2026-06-22T23:36:38.359Z