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

被引：0
作者：
Wenjuan Zhang
Xiaoxiang Jiao
Mingyan Li
机构：
[1] University of the Chinese Academy of Sciences,School of Mathematical Sciences
[2] Zhengzhou University,School of Mathematics and Statistics
来源：
Mathematical Notes | 2017年 / 101卷
关键词：
conformal minimal immersion; complex Grassmann manifold; parallel second fundamental form; classification;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：899 / 912
页数：13
相关论文
共 23 条
[1]  
Chern S. S.(1983)Minimal surfaces by moving frames Am. J. Math. 105 59-83
[2]  
Wolfson J. G.(2013)On the classification of homogeneous 2-spheres in complex Grassmannians Osaka J. Math. 50 135-152
[3]  
Fei J.(2015)Classification of all conformal minimal immersions of S Annali diMatematica 194 1301-1317
[4]  
Jiao X. X.(2012) in Monatsh. Math. 168 381-401
[5]  
Xiao L.(2010) with parallel second fundamental form Quart. J. Math. 61 87-101
[6]  
Xu X. W.(2010)On minimal two-spheres immersed in complex Grassmann manifolds with parallel second fundamental form Front. Math. China 5 297-310
[7]  
He L.(2013)On some conformal minimal two-spheres in a complex projective space ManuscriptaMath. 140 597-611
[8]  
Jiao X. X.(2011)Minimal two-spheres in G(2, 4) Arch. Math. 96 291-300
[9]  
Jiao X. X.(1999)Minimal surfaces in a complex hyperquadric Manuscr. Math. 100 305-316
[10]  
Jiao X. X.(1976)On holomorphic curves in a complex Grassmann manifold J. Math. Soc. Jpn. 28 638-667
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