CP N−1 harmonic maps and the Weierstrass problem

DOI10.1063/1.1586791zbMath1062.58020OpenAlexW1967810643MaRDI QIDQ4833064

Wojciech J. Zakrzewski, A. Michel Grundland

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1586791

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (9)

Surfaces in \(\mathbb {R}^7\) obtained from harmonic maps in \(S^6\) ⋮ Darboux transformation and exact multisolitons of \(\mathbb{C}P^N\) nonlinear sigma model ⋮ SURFACES OBTAINED FROM ℂP^N-1 SIGMA MODELS ⋮ Explicit examples of constant curvature surfaces in the supersymmetric ${C}P^{2}$ sigma model ⋮ Surfaces Associated with Sigma Models ⋮ Surfaces in RN2−1 based on harmonic maps S2→CPN−1 ⋮ $\mathbb CP^{N}$ sigma models via the $\mathbf{SU}(2)$ coherent states approach ⋮ Canonical surfaces associated with projectors in Grassmannian sigma models ⋮ Description of surfaces associated with \({\mathbb C} P^{N-1}\) sigma models on Minkowski space

Cites Work

• GENERALIZED WEIERSTRASS-ENNEPER INDUCING, CONFORMAL IMMERSIONS, AND GRAVITY
• Symmetry properties and explicit solutions of the generalized Weierstrass system
• Constant mean curvature surfaces via an integrable dynamical system
• Induced Surfaces and Their Integrable Dynamics Ii. Generalized Weierstrass Representations in 4‐d Spaces and Deformations via Ds Hierarchy
• The Weierstrass representation for surfaces immersed into R8 and CP2 maps
• On certain geometric aspects of CPN harmonic maps

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