Discrete linear Weingarten surfaces

Francis Burstall, Udo Hertrich-Jeromin, Wayne Rossman

Research output: Contribution to journalArticle

3 Citations (Scopus)
111 Downloads (Pure)

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 languageEnglish
Pages (from-to)55-88
Number of pages14
JournalNagoya Mathematical Journal
Volume231
Early online date4 Sep 2017
DOIs
Publication statusPublished - 1 Sep 2018

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Weingarten Surface
Constant Mean Curvature
Space Form
Correspondence
Analogue

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Discrete linear Weingarten surfaces. / Burstall, Francis; Hertrich-Jeromin, Udo; Rossman, Wayne.

In: Nagoya Mathematical Journal, Vol. 231, 01.09.2018, p. 55-88.

Research output: Contribution to journalArticle

Burstall, Francis ; Hertrich-Jeromin, Udo ; Rossman, Wayne. / Discrete linear Weingarten surfaces. In: Nagoya Mathematical Journal. 2018 ; Vol. 231. pp. 55-88.
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