复二平面格拉斯曼型中Ricci-Bourguignon孤子的实超曲面

IF 0.6 4区数学 Q3 MATHEMATICS

International Journal of Mathematics Pub Date : 2023-11-04 DOI:10.1142/s0129167x23500982

Young Jin Suh

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引用次数: 0

摘要

本文首次研究了复两平面格拉斯曼[公式:见文]实超曲面上的Ricci-Bourguignon孤子。利用伪反交换Ricci张量，证明了在Hopf实超曲面[公式:见文]上存在一个收缩Ricci - bourguignon孤子。此外，我们还证明了在复杂两平面Grassmannian[公式:见文]中具有Reeb流的实超曲面上不存在非平凡梯度Ricci-Bourguignon孤子[公式:见文]。在[公式:见文]中的接触超曲面类中，我们也证明了在[公式:见文]、[公式:见文]中的全测地线和全实数四元射影空间[公式:见文]上[公式:见文]中[公式:见文]不存在[公式:见文]中的非平凡梯度Ricci-Bourguignon孤子。

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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Real Hypersurfaces with Ricci-Bourguignon Soliton in the Complex Two-Plane Grassmannians

The study of Ricci–Bourguignon soliton on real hypersurfaces in the complex two-plane Grassmannian [Formula: see text] is first investigated. It is proved that there exists a shrinking Ricci–Bourguignon soliton on a Hopf real hypersurface [Formula: see text] in [Formula: see text] by using pseudo-anticommuting Ricci tensor. Moreover, we have proved that there does not exist a nontrivial gradient Ricci–Bourguignon soliton [Formula: see text] on real hypersurfaces with isometric Reeb flow in the complex two-plane Grassmannian [Formula: see text]. Among the class of contact hypersurface in [Formula: see text], we also prove that there does not exist a nontrivial gradient Ricci–Bourguignon soliton in [Formula: see text] over the totally geodesic and totally real quaternionic projective space [Formula: see text] in [Formula: see text], [Formula: see text].

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来源期刊

International Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The International Journal of Mathematics publishes original papers in mathematics in general, but giving a preference to those in the areas of mathematics represented by the editorial board. The journal has been published monthly except in June and December to bring out new results without delay. Occasionally, expository papers of exceptional value may also be published. The first issue appeared in March 1990.