Constant curvature solutions of Grassmannian sigma models. II: Non-holomorphic solutions

DOI10.1016/j.geomphys.2013.04.002zbMath1286.53066arXiv1210.5864OpenAlexW4233470406MaRDI QIDQ390922

Véronique Hussin, Laurent Delisle, Wojciech J. Zakrzewski

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5864

zbMATH Keywords

Lagrangian densitysigma modelminimal immersionGrassmannian manifoldVeronese curve

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43)

Related Items

Rigidity of holomorphic curves of constant curvature in \(G(2,5)\) ⋮ Minimal two-spheres with constant curvature in the quaternionic projective space ⋮ Rigidity of homogeneous holomorphic \(S^2\) in a complex Grassmann manifold \(G(2, N)\) ⋮ Classification of minimal homogeneous two-spheres in the complex Grassmann manifold \(G(2, n)\) ⋮ Constant curvature surfaces of the supersymmetric ℂP N−1 sigma model ⋮ Minimal two-spheres with constant curvature in the complex hyperquadric ⋮ General solutions of the supersymmetric ℂP2 sigma model and its generalisation to ℂP N−1 ⋮ Constant Curvature Holomorphic Solutions of the Supersymmetric G(2,  4) Sigma Model

Cites Work

• Unnamed Item
• On conformal minimal 2-spheres in complex Grassmann manifold \(G(2,n)\)
• The construction of harmonic maps into complex Grassmannians
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Constant curved minimal 2-spheres in \(G(2,4)\)
• Constant curvature solutions of Grassmannian sigma models. I: Holomorphic solutions
• Canonical surfaces associated with projectors in Grassmannian sigma models