Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space
نویسندگان
چکیده
منابع مشابه
Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space
Using a quaternionic calculus, the Christoffel, Darboux, Goursat, and spectral transformations for discrete isothermic nets are described, with their interrelations. The Darboux and spectral transformations are used to define discrete analogs for cmc-1 surfaces in hyperbolic space and to obtain a discrete version of Bryant's Weierstrass type representation.
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2000
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s002290070037