Discrete linear Weingarten surfaces

Abstract

Discrete linear Weingarten surfaces in space forms are characterized as special discrete $\Omega$-nets, a discrete analogue of Demoulin's $\Omega$-surfaces. It is shown that the Lie-geometric deformation of $\Omega$-nets descends to a Lawson transformation for discrete linear Weingarten surfaces, which coincides with the well-known Lawson correspondence in the constant mean curvature case.

v2: 18 pages, improved exposition

References in corpus (1)

• Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality

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