arXiv Open Access 2023

Conservation law of harmonic mappings in supercritical dimensions

Chang-Yu Guo Chang-Lin Xiang

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Abstrak

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 dimensions.

Topik & Kata Kunci

math.AP math.DG

Penulis (2)

Chang-Yu Guo

Chang-Lin Xiang

Format Sitasi

APA MLA BibTeX

Guo, C., Xiang, C. (2023). Conservation law of harmonic mappings in supercritical dimensions. https://arxiv.org/abs/2309.13372

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓