Real Hypersurfaces with Invariant Normal Jacobi Operator in the Complex Hyperbolic Quadric

We introduce the notion of Lie invariant normal Jacobi operators for real hypersurfaces in the complex hyperbolic quadric Qm∗ = SOom,2/SOmSO2. The invariant normal Jacobi operator implies that the unit normal vector field N becomes $\frak A$-principal or A-isotropic. Then in each case, we give a com...

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Bibliographic Details
Published inKyungpook mathematical journal pp. 551 - 570
Main Authors 정임순, 김규종
Format Journal Article
LanguageEnglish
Published 경북대학교 자연과학대학 수학과 01.09.2020
Subjects
수학
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ISSN1225-6951
0454-8124
DOI10.5666/KMJ.2020.60.3.551

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Summary:We introduce the notion of Lie invariant normal Jacobi operators for real hypersurfaces in the complex hyperbolic quadric Qm∗ = SOom,2/SOmSO2. The invariant normal Jacobi operator implies that the unit normal vector field N becomes $\frak A$-principal or A-isotropic. Then in each case, we give a complete classification of real hypersurfaces in Qm∗= SOom,2/SOmSO2 with Lie invariant normal Jacobi operators. KCI Citation Count: 0
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2020.60.3.551