English

Harmonic maps between 2-dimensional simplicial complexes 2

Differential Geometry 2021-10-26 v1

Abstract

We study metrics on two-dimensional simplicial complexes that are conformal either to flat Euclidean metrics or to the ideal hyperbolic metrics described by Charitos and Papadopoulos. Extending the results of our previous paper, we prove existence, uniqueness, and regularity results for harmonic maps between two such metrics on a complex.

Keywords

Cite

@article{arxiv.2110.13043,
  title  = {Harmonic maps between 2-dimensional simplicial complexes 2},
  author = {Brian Freidin and Victoria Gras Andreu},
  journal= {arXiv preprint arXiv:2110.13043},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1810.06714

R2 v1 2026-06-24T07:10:05.956Z