Abstract.
The conformal geometry of spacelike surfaces in 4-dim Lorentzian space forms has been studied by the authors in a previous paper, where the so-called polar transform was introduced. Here it is shown that this transform preserves spacelike conformal isothermic surfaces. We relate this new transform with the known transforms (Darboux transform and spectral transform) of isothermic surfaces by establishing the permutability theorems.
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Dedicated to Professor Udo Simon on the occasion of his 70th birthday
Project 10771005 supported by NSFC.
Received: March 11, 2008. Accepted: March 26, 2008
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Ma, X., Wang, P. Polar Transform of Spacelike Isothermic Surfaces in 4-Dimensional Lorentzian Space Forms. Result. Math. 52, 347–358 (2008). https://doi.org/10.1007/s00025-008-0317-1
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DOI: https://doi.org/10.1007/s00025-008-0317-1