English

Balanced homogeneous harmonic maps between cones

Differential Geometry 2024-11-06 v1 Spectral Theory

Abstract

We study the degrees of homogeneous harmonic maps between simplicial cones. Such maps have been used to model the local behavior of harmonic maps between singular spaces, where the degrees of homogeneous approximations describe the regularity of harmonic maps. In particular the degrees of homogeneous harmonic maps are related to eigenvalues of discrete normalized graph Laplacians.

Keywords

Cite

@article{arxiv.2211.09857,
  title  = {Balanced homogeneous harmonic maps between cones},
  author = {Brian Freidin},
  journal= {arXiv preprint arXiv:2211.09857},
  year   = {2024}
}

Comments

31 pages, 0 figures

R2 v1 2026-06-28T06:09:44.372Z