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

Discrete and Computational Geometry (2014) 52(4) 612-629
DOI: 10.1007/s00454-014-9622-5
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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.

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Bobenko, A. I., Hertrich-Jeromin, U., & Lukyanenko, I. (2014). Discrete constant mean curvature nets in space forms: Steiner’s formula and Christoffel duality. Discrete and Computational Geometry, 52(4), 612–629. https://doi.org/10.1007/s00454-014-9622-5

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