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

2012/10/31 by Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.DG #math.MP

paper · pdf · doi:10.1016/j.geomphys.2013.04.002

13 pages

arxiv created 2013/03/05 · arxiv updated 2015/06/11

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.

Cited by

• Classification of sextic curves in the Fano 3-fold V₅ with rational Galois covers in \mathbb P³