Work

Discrete Ω$\Omega$‐nets and Guichard nets via discrete Koenigs nets

Year: 2022

Type: article

Abstract: We provide a convincing discretisation of Demoulin's $Ω$-surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.12499

Authors: F.E. Burstall, J. Cho, U. Hertrich‐Jeromin, M. Pember, W. Rossman

Institutions: University of Bath, TU Wien, Kobe University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,300

Funders: Austrian Science Fund, Ministero dell’Istruzione, dell’Università e della Ricerca, Japan Society for the Promotion of Science

Awards: G199520308, Geometric shape generation, Algebraic geometry and Integrable systems - Deepning of Theory and New Developments in Mathematics and Mathematical Physics -, Non-rigidity and symmetry breaking, Differential geometric approach to discrete surfaces, Transformations of submanifolds in Lorentz Moebius geometry, Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type, Development of analysis and discretization in differential geometry

OpenAlex ID: W4308882829

FWCI: 2.741

Cites: 30

Cited by: 9

Related to: 8