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VOL. 85 | 2020 Harmonic maps with prescribed singularities and applications in general relativity
Gilbert Weinstein

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

Adv. Stud. Pure Math., 2020: 479-489 (2020) DOI: 10.2969/aspm/08510479

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.

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510479

Keywords: black holes , Harmonic Maps

Rights: Copyright © 2020 Mathematical Society of Japan

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