Real hypersurfaces in the complex quadric with Killing structure Jacobi operator

JOURNAL OF GEOMETRY AND PHYSICS

卷:139

Article

Jeong, Imsoon¹  Suh, Young Jin^2,3 

[1] Pai Chai Univ, Div Future Capabil Educ, Daejeon 35345, South Korea

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

[3] Res Inst Real & Complex Manifolds, Daegu 41566, South Korea

关键词: Killing tensor;    Killing structure Jacobi operator;    sic-isotropic;    sic-principal;    Complex conjugation;    Complex quadric;   

DOI  :  10.1016/j.geomphys.2018.09.021

来源: Elsevier

【 摘 要 】

First we introduce the notion of Killing structure Jacobi operator for real hypersurfaces in the complex quadric Q(m) = SOm+2/SOmSO2. Next we give a complete classification of real hypersurfaces in Q(m) = SOm+2/SOmSO2 with Killing structure Jacobi operator. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free