Constant curvature solutions of Grassmannian sigma models: (2) Non-holomorphic solutions

Abstract

We generalize here our general procedure for constructing constant curvature maps of 2-spheres into Grassmannian manifolds G(m,n) this time concentrating our attention on maps which are non-holomorphic. We present some expressions describing these solutions in the general case and discuss how to use these results to construct solutions of constant curvature. We also discuss possible values of this constant curvature.

13 pages

References in corpus (2)

• Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions
• Canonical surfaces associated with projectors in grassmannian sigma models

Cited by in corpus (4)

• Constant curvature surfaces of the supersymmetric $\mathbb{C}{P}^{N-1}$ sigma model
• Geometry of surfaces associated to grassmannian sigma models
• General solutions of the supersymmetric $\mathbb{C}{P}^2$ sigma model and its generalisation to $\mathbb{C}{P}^{N-1}$
• Superforms and the $\mathbb{C}{P}^{N-1}$ supersymmetric sigma model