Jacobi Operators with Respect to the Reeb Vector Fields on Real Hypersurfaces in a Nonflat Complex Space Form

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-06-23 DOI:10.5666/KMJ.2016.56.2.541

U. Ki, Soo-Jin Kim, Hiroyuki Kurihara

引用次数: 2

Abstract

Let M be a real hypersurface of a complex space form with almost contact metric structure (φ, ξ, η, g). In this paper, we prove that if the structure Jacobi operator Rξ = R(·, ξ)ξ is φ∇ξξ-parallel and Rξ commute with the structure tensor φ, then M is a homogeneous real hypersurface of Type A provided that TrRξ is constant.

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非平坦复空间形式实数超曲面上Reeb向量场的Jacobi算子

设M是具有近似接触度量结构(φ， ξ， η， g)的复空间形式的实超曲面。本文证明了如果结构Jacobi算子Rξ = R(·，ξ)ξ是φ∇ξ -平行且Rξ与结构张量φ交换，则M是在TrRξ为常数的条件下的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.