Harmonic maps with prescribed singularities and applications in general relativity

Gilbert Weinstein

doi:10.2969/aspm/08510479

Harmonic maps with prescribed singularities and applications in general relativity

Gilbert Weinstein

Department of Physics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.2969/aspm/08510479
State	Published - 2020

Keywords

Harmonic maps
black holes

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10.2969/aspm/08510479

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Harmonic maps with prescribed singularities and applications in general relativity

Abstract

Keywords

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