Real hypersurfaces in the complex quadric with Killing normal Jacobi operator

被引：2

作者：

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

机构：

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

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

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2019年 / 149卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

PROJECTIVE-SPACE; SUBMANIFOLDS;

D O I：

10.1017/prm.2018.27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of Killing normal Jacobi operator for real hypersurfaces in the complex quadric Q(m) = SOm+2/SOm+2/SO2 . The Killing normal Jacobi operator implies that the unit normal vector field N becomes U-principal or U-isotropic. Then according to each case, we give a complete classification of real hypersurfaces in Q(m) = SOm+2 / SOmSO2 with Killing normal Jacobi operator.

引用

页码：279 / 296

页数：18

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