Isothermic surfaces and conservation laws

F. E. Burstall, E. Carberry, U. Hertrich-Jeromin, F. Pedit

Research output: Working paper / PreprintPreprint

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Abstract

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.
Original languageEnglish
PublisherSpringer
Publication statusPublished - 19 Jan 2024

Publication series

NameMATRIX Annals
PublisherSpringer

Bibliographical note

LaTeX, 19 A4 pages

Keywords

  • math.DG

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