A Framework for Gluing Harmonic Maps
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909641962684416 |
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| author | Wang, Shaozong |
| author_facet | Wang, Shaozong |
| contents | In this paper, we study the gluing construction of the extended harmonic maps between Riemannian manifolds. Harmonic maps are critical points of the energy functional. We construct the gluing map of the extended harmonic maps from Riemann surfaces to some Riemannian manifold $N$ under certain conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18367 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Framework for Gluing Harmonic Maps Wang, Shaozong Differential Geometry In this paper, we study the gluing construction of the extended harmonic maps between Riemannian manifolds. Harmonic maps are critical points of the energy functional. We construct the gluing map of the extended harmonic maps from Riemann surfaces to some Riemannian manifold $N$ under certain conditions. |
| title | A Framework for Gluing Harmonic Maps |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2409.18367 |