arXiv:2309.13372 Abstract | arXiv Analytics

arXiv:2309.13372 [math.AP]Abstract References Reviews Resources

Conservation law of harmonic mappings in supercritical dimensions

Published 2023-09-23Version 1

In this short note, we provide a partial extension of Rivi\`ere'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 dimensions.

Comments: 6 pages

Categories: math.AP, math.DG

Subjects: 58E20, 35J60

Keywords: conservation law, supercritical dimensions, lorentz integrability condition, convervation law, short note

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