Energy quantization for constrained Willmore surfaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913859559751680 |
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| author | Scharrer, Christian West, Alexander |
| author_facet | Scharrer, Christian West, Alexander |
| contents | We establish an energy quantization for constrained Willmore surfaces, where the constraints are given by area, volume, and total mean curvature, assuming that the underlying conformal structures remain bounded. Furthermore, we show strong compactness of constrained Willmore surfaces under some energy threshold, proving in particular the strong compactness of minimizers of two previously studied problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy quantization for constrained Willmore surfaces Scharrer, Christian West, Alexander Differential Geometry Analysis of PDEs 53C42, 53A30, 49Q10 We establish an energy quantization for constrained Willmore surfaces, where the constraints are given by area, volume, and total mean curvature, assuming that the underlying conformal structures remain bounded. Furthermore, we show strong compactness of constrained Willmore surfaces under some energy threshold, proving in particular the strong compactness of minimizers of two previously studied problems. |
| title | Energy quantization for constrained Willmore surfaces |
| topic | Differential Geometry Analysis of PDEs 53C42, 53A30, 49Q10 |
| url | https://arxiv.org/abs/2505.19898 |