On Bäcklund and Ribaucour transformations for hyperbolic linear Weingarten surfaces
نویسندگان
چکیده
منابع مشابه
Rotational linear Weingarten surfaces of hyperbolic type
A linear Weingarten surface in Euclidean space R 3 is a surface whose mean curvature H and Gaussian curvature K satisfy a relation of the form aH + bK = c, where a, b, c ∈ R. Such a surface is said to be hyperbolic when a + 4bc < 0. In this paper we classify all rotational linear Weingarten surfaces of hyperbolic type. As a consequence, we obtain a family of complete hyperbolic linear Weingarte...
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ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2018
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v38i1.36702