Real hypersurfaces in the complex quadric with Lie invariant normal Jacobi operator

被引：3

作者：

Suh, Young Jin ^{[1
,2
]}

Kim, Gyu Jong ^{[1
,2
]}

机构：

[1] Kyungpook Natl Univ, Coll Nat Sci, Dept Math, Daegu 41566, South Korea

[2] Kyungpook Natl Univ, Coll Nat Sci, Res Inst Real & Complex Manifolds, Daegu 41566, South Korea

来源：

ADVANCES IN APPLIED MATHEMATICS | 2019年 / 104卷

基金：

新加坡国家研究基金会;

关键词：

Invariant normal Jacobi operator; (sic)-isotropic; (sic)-principal; Kahler structure; Complex conjugation; Complex quadric; 2-PLANE GRASSMANNIANS; RICCI TENSOR; SUBMANIFOLDS;

D O I：

10.1016/j.aam.2018.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of Lie invariant normal Jacobi operator for real hypersurfaces in the complex quadric Q(m) = SOm+2/SOmSO2. The existence of an invariant normal Jacobi operator implies that the unit normal vector field N becomes (sic)-principal or (sic)-isotropic. Using an analysis of cases, we give a complete classification of real hypersurfaces in Q(m) = SOm+2/SOmSO2 with Lie invariant normal Jacobi operator. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：117 / 134

页数：18

共 23 条

[1]

[Anonymous], 1987, Saitama Math. J.

[2] REAL HYPERSURFACES WITH ISOMETRIC REEB FLOW IN COMPLEX QUADRICS [J].