Conservation law of harmonic mappings in supercritical dimensions

In this short note, we provide a partial extension of Rivière’s convervation law in higher dimensions under certain Lorentz integrability condition for the connection matrix. As an application, we obtain a conservation law for weakly harmonic mappings around regular points in supercritical dimension...

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Bibliographic Details
Main Authors: Guo, Chang-Yu, Xiang, Chang-Lin
Format: Article
Language:English
Published: Académie des sciences 2024-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.592/
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