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

Research output: Contribution to journal › Article › peer-review

18 Citations (SciVal)

307 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 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

Access to Document

10.1017/nmj.2017.11

dlw-final
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.
Accepted author manuscript, 283 KB

Cite this

@article{443a8eefe1834ecc9a11e99b3d31a050,

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.",

author = "Francis Burstall and Udo Hertrich-Jeromin and Wayne Rossman",

year = "2018",

month = sep,

day = "1",

doi = "10.1017/nmj.2017.11",

language = "English",

volume = "231",

pages = "55--88",

journal = "Nagoya Mathematical Journal",

issn = "0027-7630",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Discrete linear Weingarten surfaces

AU - Burstall, Francis

AU - Hertrich-Jeromin, Udo

AU - Rossman, Wayne

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85060095560

U2 - 10.1017/nmj.2017.11

DO - 10.1017/nmj.2017.11

M3 - Article

SN - 0027-7630

VL - 231

SP - 55

EP - 88

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

Discrete linear Weingarten surfaces

Abstract

Access to Document

Other files and links

Fingerprint

Fran Burstall

Cite this

Discrete linear Weingarten surfaces

Abstract

Access to Document

Other files and links

Fingerprint

Profiles

Fran Burstall

Cite this