Laguerre geometry of surfaces with plane lines of curvature
Copyright policy )Laguerre geometry of surfaces with plane lines of curvature
The authors continue their study of \(L\)-isothermic surfaces initiated in [the authors, New developments in differential geometry, Budapest 1996, 285-294 (1999; Zbl 0942.53006)]. Using moving frames, they find an integral formula for such surfaces and prove that an \(L\)-isothermic surface is \(L\)-congruent to either a cylindrical moulding surface, or a surface whose Gauss map coincides with that of Enneper's surface, for which they give explicit formulas. They also find formulas for \(L\)-isothermic \(L\)-minimal surfaces.
- Sapienza University of Rome Italy
- University of Parma Italy
- University of L'Aquila Italy
- Roma Tre University Italy
Surfaces in Euclidean and related spaces, \(L\)-minimal surface, Other special differential geometries, Isothermic surface, 530, \(L\)-isothermic surface, Laguerre geometry, 510
Surfaces in Euclidean and related spaces, \(L\)-minimal surface, Other special differential geometries, Isothermic surface, 530, \(L\)-isothermic surface, Laguerre geometry, 510
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