English

Harmonic maps with prescribed singularities and applications in general relativity

General Relativity and Quantum Cosmology 2019-02-11 v2

Abstract

This paper presents a general existence and uniqueness result for harmonic maps with prescribed singularities into non-positively curved targets, and surveys a number of applications to general relativity. It is based on a talk delivered by the author at The 11th Mathematical Society of Japan Seasonal Institute, The Role of Metrics in the Theory of Partial Differential Equations.

Keywords

Cite

@article{arxiv.1902.01576,
  title  = {Harmonic maps with prescribed singularities and applications in general relativity},
  author = {Gilbert Weinstein},
  journal= {arXiv preprint arXiv:1902.01576},
  year   = {2019}
}
R2 v1 2026-06-23T07:32:15.158Z