Elastic curves and self-intersections
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909909696643072 |
|---|---|
| author | Miura, Tatsuya |
| author_facet | Miura, Tatsuya |
| contents | This is an expository note to give a brief review of classical elastica theory, mainly prepared for giving a more detailed proof of the author's Li--Yau type inequality for self-intersecting curves in Euclidean space. We also discuss some open problems in related topics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03020 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Elastic curves and self-intersections Miura, Tatsuya Analysis of PDEs Differential Geometry 53A04, 49Q10, and 53E40 This is an expository note to give a brief review of classical elastica theory, mainly prepared for giving a more detailed proof of the author's Li--Yau type inequality for self-intersecting curves in Euclidean space. We also discuss some open problems in related topics. |
| title | Elastic curves and self-intersections |
| topic | Analysis of PDEs Differential Geometry 53A04, 49Q10, and 53E40 |
| url | https://arxiv.org/abs/2408.03020 |