English

Convergence of almost harmonic maps to geodesic bubble trees

Analysis of PDEs 2022-10-25 v1 Differential Geometry

Abstract

We prove a sharp criterion on the decay of the tension of almost harmonic maps from degenerating surfaces that ensures that such maps subconverge to a limiting object that is made up entirely of harmonic maps.

Keywords

Cite

@article{arxiv.2210.13367,
  title  = {Convergence of almost harmonic maps to geodesic bubble trees},
  author = {Melanie Rupflin},
  journal= {arXiv preprint arXiv:2210.13367},
  year   = {2022}
}
R2 v1 2026-06-28T04:22:37.608Z