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We give an overview on the discretization of isothermic surfaces, with special emphasis on the so-called s-isothermic surfaces, which are in some sense a nonlinear deformation of the classical discret...e isothermic surfaces. For s-isothermic surfaces we give a way to de ne surfaces of constant mean curvature (cmc surfaces for short) without actually de ning an a priori notion of curvature itself. We will compute discrete versions of rotational symmetric cmc surfaces (Delaunay surfaces) as an example. Finally, we give a discrete equivalent of the Sinh-Gordon equation, solutions of which describe { in complete analogy to the smooth case { discrete s-isothermic cmc surfaces.続きを見る
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Mendeley出力
JMI2010B-6