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.
| Original language | English |
|---|---|
| Pages (from-to) | 479-489 |
| Number of pages | 11 |
| Journal | Advanced Studies in Pure Mathematics |
| Volume | 85 |
| DOIs | |
| State | Published - 2020 |
Keywords
- black holes
- Harmonic maps