In this paper we investigate Willmore isothermic surfaces and their T-transforms. We prove that any eme surface in a 3-dimensional space form can be given as a T -transform of a minimal surface in some space form. This result generalizes the Umehara-Yamada perturbation . of a minimal surf ace in euclidean space into constant mean curvature I surfaces in hyperbolic 3-space.
T-transformations of Willmore isothermic surfaces
CARFI', David;
2000-01-01
Abstract
In this paper we investigate Willmore isothermic surfaces and their T-transforms. We prove that any eme surface in a 3-dimensional space form can be given as a T -transform of a minimal surface in some space form. This result generalizes the Umehara-Yamada perturbation . of a minimal surf ace in euclidean space into constant mean curvature I surfaces in hyperbolic 3-space.File in questo prodotto:
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