Record link: 
http://hdl.handle.net/20.500.12708/223310
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Title: 
Isothermic Surfaces and Conservation Laws
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Citation: 
Burstall, F., Carberry, E., Hertrich-Jeromin, U., & Pedit, F. (2025). Isothermic Surfaces and Conservation Laws. In D. R. Wood, A. M. Etheridge, J. de Gier, & N. Joshi (Eds.), 2023 MATRIX Annals (Vol. 6, pp. 135–158). Springer. https://doi.org/10.1007/978-3-031-76738-8_9
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Publisher DOI: 
10.1007/978-3-031-76738-8_9
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Publication Type: 
Book Contribution - Edited Volume Contribution
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Language: 
English
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Authors: 
Burstall, Fran 
Carberry, Emma 
Hertrich-Jeromin, Udo 
Pedit, Franz 
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Organisational Unit: 
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen 
E057-16 - Fachbereich Center for Geometry and Computational Design 
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Published in: 
2023 MATRIX Annals 
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ISBN: 
978-3-031-76738-8
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Date (published): 
2025
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Number of Pages: 
24
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Publisher: 
Springer, Cham
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Keywords: 
isothermic surface
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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.
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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Appears in Collections:
Book Contribution

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