Isothermic surfaces and conservation laws
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909690657505280 |
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| author | Burstall, F. E. Carberry, E. Hertrich-Jeromin, U. Pedit, F. |
| author_facet | Burstall, F. E. Carberry, E. Hertrich-Jeromin, U. Pedit, F. |
| contents | For CMC surfaces in $3$-dimensional space forms, we relate the moment class of Korevaar--Kusner--Solomon to a second cohomology class arising from the integrable systems theory of isothermic surfaces. In addition, we show that both classes have a variational origin as Noether currents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isothermic surfaces and conservation laws Burstall, F. E. Carberry, E. Hertrich-Jeromin, U. Pedit, F. Differential Geometry For CMC surfaces in $3$-dimensional space forms, we relate the moment class of Korevaar--Kusner--Solomon to a second cohomology class arising from the integrable systems theory of isothermic surfaces. In addition, we show that both classes have a variational origin as Noether currents. |
| title | Isothermic surfaces and conservation laws |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2401.10618 |