Real hypersurfaces with Killing structure Jacobi operator in the complex hyperbolic quadric

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2021-01-01 DOI:10.18910/78987

Jin Suh Young

引用次数: 0

Abstract

First we introduce the notion of Killing structure Jacobi operator for real hypersurfaces in the complex hyperbolic quadric ${Q^m}^*=SO^0_{2,m}/SO_2 SO_m$ . Next we give a complete classification of real hypersurfaces in ${Q^m}^*=SO^0_{2,m}/SO_2 SO_m$ with Killing structure Jacobi operator.

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复双曲二次曲面中具有杀戮结构Jacobi算子的实超曲面

首先引入复双曲二次曲面${Q^m}^*=SO^0_{2,m}/SO_2 SO_m$上实超曲面的杀戮结构Jacobi算子的概念。在此基础上，给出了${Q^m}^*=SO^0_{2,m}/SO_2 SO_m$中实数超曲面的完全分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.