Minimal two-spheres with constant curvature in the quaternionic projective space
Differential Geometry
2018-06-25 v1
Abstract
In this paper we completely classify the homogeneous two-spheres, especially, the minimal homogeneous ones in the quaternionic projective space . According to our classification, more minimal constant curved two-spheres in are obtained than Ohnita conjectured in the paper "Homogeneous harmonic maps into projective space, Tokyo J Math, 1990, 13(1): 87-116".
Cite
@article{arxiv.1806.08483,
title = {Minimal two-spheres with constant curvature in the quaternionic projective space},
author = {Jie Fei and Chiakuei Peng and Xiaowei Xu},
journal= {arXiv preprint arXiv:1806.08483},
year = {2018}
}
Comments
This paper has been accepted for publication in SCIENCE CHINA Mathematics