English

A Framework for Gluing Harmonic Maps

Differential Geometry 2025-06-10 v2

Abstract

In this paper, we study the gluing construction of the extended harmonic maps between Riemannian manifolds. Harmonic maps are critical points of the energy functional. We construct the gluing map of the extended harmonic maps from Riemann surfaces to some Riemannian manifold NN under certain conditions.

Keywords

Cite

@article{arxiv.2409.18367,
  title  = {A Framework for Gluing Harmonic Maps},
  author = {Shaozong Wang},
  journal= {arXiv preprint arXiv:2409.18367},
  year   = {2025}
}