Conservation law of harmonic mappings in supercritical dimensions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909347055927296 |
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| author | Guo, Chang-Yu Xiang, Chang-Lin |
| author_facet | Guo, Chang-Yu Xiang, Chang-Lin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13372 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conservation law of harmonic mappings in supercritical dimensions Guo, Chang-Yu Xiang, Chang-Lin Analysis of PDEs Differential Geometry 58E20, 35J60 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. |
| title | Conservation law of harmonic mappings in supercritical dimensions |
| topic | Analysis of PDEs Differential Geometry 58E20, 35J60 |
| url | https://arxiv.org/abs/2309.13372 |