Weierstrass-type representations

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Abstract

Weierstrass-type representations have been used extensively in surface theory to create surfaces with special curvature properties. In this paper we give a unified description of these representations in terms of classical transformation theory of
Ω-surfaces.
Original languageEnglish
Pages (from-to)299-309
JournalGeometriae Dedicata
Volume13
Issue number2
Early online date9 May 2019
DOIs
Publication statusPublished - 29 Feb 2020

Acknowledgements

Open access funding provided by Austrian Science Fund (FWF). The author would like to express his gratitude to F. Burstall, J. Cho, U. Hertrich-Jeromin, W. Rossman and M. Yasumoto for fruitful and pleasant conversations about this topic. This work was supported by the Austrian Science Fund (FWF) through the research Project P28427-N35 “Non-rigidity and symmetry breaking”.

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