Reducible Conformal Minimal Immersion with Constant Curvature from S^2 to Q_6
Differential Geometry
2023-09-07 v1
Abstract
The geometry of conformal minimal two-spheres immersed in G(2,6;R) is studied in this paper by harmonic maps. Then in most cases, we determine the linearly full reducible conformal minimal immersions from S^2 to G(2,8;R) identified with the complex hyperquadric Q_6. We also give some examples, up to an isometry of G(2,8;R), in which none of the spheres are congruent, with the same Gaussian curvature.
Keywords
Cite
@article{arxiv.2309.03017,
title = {Reducible Conformal Minimal Immersion with Constant Curvature from S^2 to Q_6},
author = {Jiao Xiaoxiang and Li Mingyue},
journal= {arXiv preprint arXiv:2309.03017},
year = {2023}
}