Corpus ID: 119606063

Darboux and Calapso transforms of meromorphically isothermic surfaces

  title={Darboux and Calapso transforms of meromorphically isothermic surfaces},
  author={Andreas Fuchs},
  journal={arXiv: Differential Geometry},
  • Andreas Fuchs
  • Published 2019
  • Mathematics
  • arXiv: Differential Geometry
  • We consider those simply connected isothermic surfaces for which their Hopf differential factorizes into a real function and a meromorphic quadratic differential that has a zero or pole at some point, but is nowhere zero and holomorphic otherwise. Upon restriction to a simply connected patch that does not contain the zero or pole, the Darboux and Calapso transformations yield new isothermic surfaces. We determine the limiting behaviour of these transformed patches as the zero or pole of the… CONTINUE READING

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