Minimal two-spheres in  G (2, 4; ( C )) with parallel second fundamental form

Wenjuan Zhang; Xiaoxiang Jiao; Mingyan Li

doi:10.1134/S0001434617050157

Minimal two-spheres in G(2, 4; (C)) with parallel second fundamental form

Authors: Zhang W.¹, Jiao X.¹, Li M.²
Affiliations:
1. School of Mathematical Sciences
2. School of Mathematics and Statistics
Issue: Vol 101, No 5-6 (2017)
Pages: 899-912
Section: Volume 101, Number 5, May, 2017
URL: https://journals.rcsi.science/0001-4346/article/view/150049
DOI: https://doi.org/10.1134/S0001434617050157
ID: 150049

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Abstract

In this paper, we give a classification theorem of minimal two-spheres in G(2, 4; (C)) with parallel second fundamental form. Moreover, we also consider some special holomorphic two-spheres in G(2, n; (C)) and give the corresponding conditions of the parallel second fundamental form.