Energy reduction for Fourth order Willmore energy
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908379881930752 |
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| author | Wu, Nan Yan, Zetian |
| author_facet | Wu, Nan Yan, Zetian |
| contents | We introduce a fourth-order Willmore-type problem for closed four-dimensional submanifolds immersed in $\mathbb{R}^n$ and establish a connected sum energy reduction for the general fourth-order Willmore energy, analogous to the seminal result of Bauer and Kuwert \cite{Bauer-Kuwert03}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy reduction for Fourth order Willmore energy Wu, Nan Yan, Zetian Differential Geometry 30C70, 49Q10, 58E15, 30C70 We introduce a fourth-order Willmore-type problem for closed four-dimensional submanifolds immersed in $\mathbb{R}^n$ and establish a connected sum energy reduction for the general fourth-order Willmore energy, analogous to the seminal result of Bauer and Kuwert \cite{Bauer-Kuwert03}. |
| title | Energy reduction for Fourth order Willmore energy |
| topic | Differential Geometry 30C70, 49Q10, 58E15, 30C70 |
| url | https://arxiv.org/abs/2504.08105 |