Hopf Hypersurfaces in Complex Two-plane Grassmannians with Generalized Tanaka-Webster Reeb-parallel Structure Jacobi Operator

IF 0.2 Q3 MATHEMATICS Kyungpook Mathematical Journal Pub Date : 2019-09-23 DOI:10.5666/KMJ.2019.59.3.525

Byung-Hak Kim, Hyunjin Lee, Eunmi Pak

引用次数: 1

Abstract

Regarding the generalized Tanaka-Webster connection, we considered a new notion of \(\mathfrak{D}^ \bot\)-parallel structure Jacobi operator for a real hypersurface in a complex two-plane Grassmannian G2(ℂm+2) and proved that a real hypersurface in G2(ℂm+2) with generalized Tanaka-Webster \(\mathfrak{D}^ \bot\)-parallel structure Jacobi operator is locally congruent to an open part of a tube around a totally geodesic quaternionic projective space ℍPn in G2(ℂm+2), where m = 2n.

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具有广义Tanaka-Webster reeb -平行结构Jacobi算子的复两平面Grassmannians的Hopf超曲面

关于广义Tanaka-Webster连接，我们考虑了复两平面Grassmannian G2(m+2)上实超曲面的\(\mathfrak{D}^ \bot\) -平行结构Jacobi算子的新概念，并证明了具有广义Tanaka-Webster \(\mathfrak{D}^ \bot\) -平行结构Jacobi算子的G2(m+2)上的实超曲面局部同于G2(m+2)上的全测地四元数投影空间Pn周围的一个管的开口部分，其中m = 2n。

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.