Discrete Ω-nets and Guichard nets via discrete Koenigs nets

Fran Burstall; Joseph Cho; Udo Hertrich-Jeromin; Mason Pember; Wayne Rossman

doi:10.1112/plms.12499

Discrete Ω-nets and Guichard nets via discrete Koenigs nets

Fran Burstall, Joseph Cho, Udo Hertrich-Jeromin, Mason Pember, Wayne Rossman

Department of Mathematical Sciences

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

4 Citations (SciVal)

Abstract

We provide a convincing discretisation of Demoulin's (Formula presented.) -surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.

Original language	English
Pages (from-to)	790-836
Journal	Proceedings of the London Mathematical Society
Volume	126
Issue number	2
Early online date	9 Nov 2022
DOIs	https://doi.org/10.1112/plms.12499
Publication status	Published - 28 Feb 2023

Bibliographical note

Funding Information:
Furthermore, we gratefully acknowledge financial support of the project through the following research grants: JSPS Grant‐in‐Aid for JSPS Fellows 19J10679, for scientific research (C) 15K04845, 20K03585, and (S) 17H06127 (P.I.: M.‐H. Saito); the JSPS/FWF Joint Project I3809‐N32 “Geometric shape generation”; the FWF research project P28427‐N35 “Non‐rigidity and symmetry breaking”; and the MIUR grant “Dipartimenti di Eccellenza” 2018–2022, CUP: E11G18000350001, DISMA, Politecnico di Torino.

Publisher Copyright:
© 2022 The Authors. Proceedings of the London Mathematical Society is copyright © London Mathematical Society.

Funding

Furthermore, we gratefully acknowledge financial support of the project through the following research grants: JSPS Grant‐in‐Aid for JSPS Fellows 19J10679, for scientific research (C) 15K04845, 20K03585, and (S) 17H06127 (P.I.: M.‐H. Saito); the JSPS/FWF Joint Project I3809‐N32 “Geometric shape generation”; the FWF research project P28427‐N35 “Non‐rigidity and symmetry breaking”; and the MIUR grant “Dipartimenti di Eccellenza” 2018–2022, CUP: E11G18000350001, DISMA, Politecnico di Torino.

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Cite this

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title = "Discrete Ω-nets and Guichard nets via discrete Koenigs nets",

abstract = "We provide a convincing discretisation of Demoulin's (Formula presented.) -surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.",

author = "Fran Burstall and Joseph Cho and Udo Hertrich-Jeromin and Mason Pember and Wayne Rossman",

note = "Funding Information: Furthermore, we gratefully acknowledge financial support of the project through the following research grants: JSPS Grant‐in‐Aid for JSPS Fellows 19J10679, for scientific research (C) 15K04845, 20K03585, and (S) 17H06127 (P.I.: M.‐H. Saito); the JSPS/FWF Joint Project I3809‐N32 “Geometric shape generation”; the FWF research project P28427‐N35 “Non‐rigidity and symmetry breaking”; and the MIUR grant “Dipartimenti di Eccellenza” 2018–2022, CUP: E11G18000350001, DISMA, Politecnico di Torino. Publisher Copyright: {\textcopyright} 2022 The Authors. Proceedings of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",

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doi = "10.1112/plms.12499",

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AU - Burstall, Fran

AU - Cho, Joseph

AU - Hertrich-Jeromin, Udo

AU - Pember, Mason

AU - Rossman, Wayne

N1 - Funding Information: Furthermore, we gratefully acknowledge financial support of the project through the following research grants: JSPS Grant‐in‐Aid for JSPS Fellows 19J10679, for scientific research (C) 15K04845, 20K03585, and (S) 17H06127 (P.I.: M.‐H. Saito); the JSPS/FWF Joint Project I3809‐N32 “Geometric shape generation”; the FWF research project P28427‐N35 “Non‐rigidity and symmetry breaking”; and the MIUR grant “Dipartimenti di Eccellenza” 2018–2022, CUP: E11G18000350001, DISMA, Politecnico di Torino. Publisher Copyright: © 2022 The Authors. Proceedings of the London Mathematical Society is copyright © London Mathematical Society.

PY - 2023/2/28

Y1 - 2023/2/28

N2 - We provide a convincing discretisation of Demoulin's (Formula presented.) -surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.

AB - We provide a convincing discretisation of Demoulin's (Formula presented.) -surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.

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JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 2

ER -

Discrete Ω-nets and Guichard nets via discrete Koenigs nets

Abstract

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