Laguerre minimal surfaces, isotropic geometry and linear elasticity
نویسندگان
چکیده
منابع مشابه
Ruled Laguerre minimal surfaces
A Laguerre minimal surface is an immersed surface in R being an extremal of the functional ∫ (H/K− 1)dA. In the present paper, we prove that any ruled Laguerre minimal surface distinct from a plane is up to motion a convolution of the helicoid x = y tan z, the cycloid r(t) = (t− sin t, 1−cos t, 0) and the Plücker conoid (ax+ by) = z(x+y) for some a, b ∈ R. To achieve invariance under Laguerre t...
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ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2008
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-008-9076-5