English

Infinite energy harmonic maps from Riemann surfaces to CAT(0) spaces

Differential Geometry 2022-10-21 v1

Abstract

We present some results about harmonic maps with possibly infinite energy from punctured Riemann surfaces to CAT(0) spaces. In particular, we give precise estimates of their energy growth near the punctures and prove their uniqueness.

Keywords

Cite

@article{arxiv.2210.11434,
  title  = {Infinite energy harmonic maps from Riemann surfaces to CAT(0) spaces},
  author = {Georgios Daskalopoulos and Chikako Mese},
  journal= {arXiv preprint arXiv:2210.11434},
  year   = {2022}
}