Extrinsic bi-Conformal Heat Flow and its smoothness
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911484706029568 |
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| author | Park, Woongbae |
| author_facet | Park, Woongbae |
| contents | In this paper we introduce conformal heat flow of (extrinsic) biharmonic maps on $4$-manifold, simply called bi-conformal heat flow (bi-CHF), and study its properties. Similar to other CHF of harmonic maps and regularized $n$-harmonic maps, (CHF and regularized $n$-CHF respectively), we obtain global smoothness and no finite time singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04258 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extrinsic bi-Conformal Heat Flow and its smoothness Park, Woongbae Differential Geometry 58E20, 53E99, 35K91 In this paper we introduce conformal heat flow of (extrinsic) biharmonic maps on $4$-manifold, simply called bi-conformal heat flow (bi-CHF), and study its properties. Similar to other CHF of harmonic maps and regularized $n$-harmonic maps, (CHF and regularized $n$-CHF respectively), we obtain global smoothness and no finite time singularity. |
| title | Extrinsic bi-Conformal Heat Flow and its smoothness |
| topic | Differential Geometry 58E20, 53E99, 35K91 |
| url | https://arxiv.org/abs/2603.04258 |