Discrete linear Weingarten surfaces

Francis Burstall; Udo Hertrich-Jeromin; Wayne Rossman

doi:10.1017/nmj.2017.11

Discrete linear Weingarten surfaces

Francis Burstall, Udo Hertrich-Jeromin, Wayne Rossman

Department of Mathematical Sciences

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Abstract

Discrete linear Weingarten surfaces in space forms are characterized as special discrete Ω-nets, a discrete analogue of Demoulin’s Ω-surfaces. It is shown that the Lie-geometric deformation of Ω-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.

Original language	English
Pages (from-to)	55-88
Number of pages	14
Journal	Nagoya Mathematical Journal
Volume	231
Early online date	4 Sept 2017
DOIs	https://doi.org/10.1017/nmj.2017.11
Publication status	Published - 1 Sept 2018

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This article has been published in Nagoya Mathematical Journal https://doi.org/10.1017/nmj.2017.11. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © 2017 by The Editorial Board of the Nagoya Mathematical Journal.
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Fran Burstall
- F.E.Burstallbath.acuk
- Department of Mathematical Sciences - Professor
Person: Research & Teaching

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title = "Discrete linear Weingarten surfaces",

abstract = "Discrete linear Weingarten surfaces in space forms are characterized as special discrete Ω-nets, a discrete analogue of Demoulin{\textquoteright}s Ω-surfaces. It is shown that the Lie-geometric deformation of Ω-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.",

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AB - Discrete linear Weingarten surfaces in space forms are characterized as special discrete Ω-nets, a discrete analogue of Demoulin’s Ω-surfaces. It is shown that the Lie-geometric deformation of Ω-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.

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Discrete linear Weingarten surfaces

Abstract

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