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

Abstract

We show that the discrete principal nets in quadrics of constant curvature that have constant mixed area mean curvature can be characterized by the existence of a Königs dual in a concentric quadric.

12 pages, 10 figures, pdfLaTeX (plain pdfTeX source included as bak file)

References in corpus (1)

• Discrete linear Weingarten surfaces

Cited by in corpus (5)

• Discrete linear Weingarten surfaces
• Semi-discrete isothermic surfaces
• Discrete CMC surfaces in R^3 and discrete minimal surfaces in S^3. A discrete Lawson correspondence
• Discrete Weierstrass-type representations
• Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets