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Discrete linear Weingarten surfaces in space forms are characterized as special discrete $\unicode[STIX]{x1D6FA}$ -nets, a discrete analogue of Demoulin’s $\unicode[STIX]{x1D6FA}$ -surfaces. It is shown that the Lie-geometric deformation of $\unicode[STIX]{x1D6FA}$… Click to show full abstract
Discrete linear Weingarten surfaces in space forms are characterized as special discrete $\unicode[STIX]{x1D6FA}$ -nets, a discrete analogue of Demoulin’s $\unicode[STIX]{x1D6FA}$ -surfaces. It is shown that the Lie-geometric deformation of $\unicode[STIX]{x1D6FA}$ -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.
Keywords:
weingarten surfaces;
stix x1d6fa;
linear weingarten;
discrete linear;
unicode stix
Journal Title: Nagoya Mathematical Journal
Year Published: 2017
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Journal Title: Nagoya Mathematical Journal
Year Published: 2017
Link to full text (if available)
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recommendations!