Quadratic Killing normal Jacobi operator for real hypersurfaces in the complex quadric
type: Item
instance of: scholarly article
title: Quadratic Killing normal Jacobi operator for real hypersurfaces in the complex quadric
zbMATH Open document ID: 1482.53072
author: Young Jin Suh
author: Hyunjin Lee
published in: Rocky Mountain Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: In the present paper, motivated by the study of Killing vector fields, the authors introduce the notion of quadratic Killing normal Jacobi operator which is simply known as Killing Jacobi operator. Let $M$ be a Hopf real hypersurface in the complex quadratic $Q^m$, $m\geq 3$. A geometric interpretation is given by proving one of the main theorems for $M$ with Killing normal Jacobi operator. Using this geometric interpretation, the authors prove that there does not exists such $M$ with Killing normal Jaccobi operator in the complex quadratic $Q^m$ for $m\geq 3$.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 7393836
zbMATH Keywords: Killing tensor
zbMATH Keywords: quadratic Killing tensor
zbMATH Keywords: cyclic parallelism
zbMATH Keywords: normal Jacobi operator
zbMATH Keywords: singular normal vector
zbMATH Keywords: \(\mathfrak{A}\)-isotropic
zbMATH Keywords: \(\mathfrak{A}\)-principal
zbMATH Keywords: complex structure
zbMATH Keywords: real structure
zbMATH Keywords: Hopf real hypersurface
zbMATH Keywords: complex quadric
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7393836