• Corpus ID: 233481530

Channel linear Weingarten surfaces in space forms

  title={Channel linear Weingarten surfaces in space forms},
  author={Udo Hertrich-Jeromin and Mason Pember and Denis Polly},
Channel linear Weingarten surfaces in space forms are investigated in a Lie sphere geometric setting, which allows for a uniform treatment of different ambient geometries. We show that any channel linear Weingarten surface in a space form is isothermic and, in particular, a surface of revolution in its ambient space form. We obtain explicit parametrisations for channel surfaces of constant Gauss curvature in space forms, and thereby for a large class of linear Weingarten surfaces up to parallel… 
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