A characterization of homogeneous totally real minimal two-spheres in a complex hyperquadric

被引：0

作者：

Fei, Jie ^{[1
]}

Wang, Jun ^{[2
,3
]}

Xu, Xiaowei ^{[4
,5
]}

机构：

[1] Xian Jiaotong Liverpool Univ, Sch Math & Phys, Suzhou 215123, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China

[3] Nanjing Normal Univ, Inst Math, Nanjing 210023, Peoples R China

[4] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[5] Chinese Acad Sci, Wu Wen Tsun Key Lab Math, USTC, Hefei 230026, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2024年 / 35卷 / 01期

关键词：

Constant curvature; homogeneity; hyperquadric; minimal two-spheres; totally real; GRASSMANN MANIFOLD G(2; CONSTANT CURVATURE; HOLOMORPHIC-CURVES; HARMONIC MAPS; EXPLICIT CONSTRUCTION; CLASSIFICATION; RIGIDITY; SURFACES; IMMERSIONS; SPHERES;

D O I：

10.1142/S0129167X23501008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a characterization of homogeneous totally real minimal two-spheres in a complex hyperquadric Q(n). Let f be a totally real minimal immersion from two-sphere in Q(n), and tau XY, tau Xc (see Sec. 2) are globally defined invariants relative to the first and second fundamental forms. We prove that if its Gauss curvature K and tau XY are constants, and tau Xc vanishes identically, then f is congruent to F-2k,F-2l constructed by the Boruvka spheres with n = 2(k + l).

引用

页数：41

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