Weierstrass representation for discrete isotropic surfaces in \(\mathbb R^{2,1}\), \(\mathbb R^{3,1}\), and \(\mathbb R^{2,2}\)

DOI10.1007/s10688-011-0003-zzbMath1271.53012arXiv0907.0688OpenAlexW1984254016MaRDI QIDQ366279

Dmitry V. Zakharov

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0688

zbMATH Keywords

discretizationintegrable systemdiscrete differential geometry

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Non-Euclidean differential geometry (53A35)

Related Items (1)

Surfaces via spinors and soliton equations

Cites Work

• Unnamed Item
• Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces
• Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
• A Discrete Analogue of the Dirac Operator and the Discrete Modified Novikov–Veselov Hierarchy
• Induced Surfaces and Their Integrable Dynamics Ii. Generalized Weierstrass Representations in 4‐d Spaces and Deformations via Ds Hierarchy
• Induced Surfaces and Their Integrable Dynamics

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