Isothermic surfaces and conservation laws
Differential Geometry
2025-07-17 v1
Abstract
For CMC surfaces in -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.
Cite
@article{arxiv.2401.10618,
title = {Isothermic surfaces and conservation laws},
author = {F. E. Burstall and E. Carberry and U. Hertrich-Jeromin and F. Pedit},
journal= {arXiv preprint arXiv:2401.10618},
year = {2025}
}
Comments
LaTeX, 19 A4 pages