Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-12-23 DOI:10.5666/KMJ.2016.56.4.1207

T. Hwang, U. Ki, Hiroyuki Kurihara

引用次数: 0

Abstract

Let M be a real hypersurface with constant mean curvature in a complex space form Mn(c), c ̸= 0. In this paper, we prove that if the structure Jacobi operator Rξ = R(·, ξ)ξ with respect to the structure vector field ξ is φ∇ξξ-parallel and Rξ commute with the structure tensor field φ, then M is a homogeneous real hypersurface of Type A.

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复空间形式中常平均曲率实超曲面的结构Jacobi算子

设M为复空间中具有恒定平均曲率的实超曲面，其形式为Mn(c)， c (c) = 0。本文证明了如果结构Jacobi算子Rξ = R(·，ξ)ξ对结构向量场ξ为φ∇ξ -平行且Rξ与结构张量场φ可交换，则M是a型齐次实超曲面。

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

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.