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Darboux and Calapso transforms of meromorphically isothermic surfaces. (arXiv:1901.05774v1 [math.DG])
来源于:arXiv
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 meromorphic quadratic differential is
approached and investigate whether they are continuous around that point. 查看全文>>