复二次型实超曲面上的Ricci-bourguignon孤子和梯度孤子

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2023-01-01 DOI:10.2206/kyushujm.77.331

Hyunjin LEE, Eunmi PAK, Young Jin SUH

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引用次数: 0

摘要

利用复二次型Qm = SOm+2/SO2SOm的广义伪反可交换Ric Φ + Φ Ric = f Φ的性质，给出了复二次型Qm中Ricci-Bourguignon孤子Hopf实超曲面的完全分类。然后，作为应用，我们给出了复二次型Qm中Hopf Ricci-Bourguignon梯度孤子的完全分类。

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RICCI-BOURGUIGNON AND GRADIENT SOLITONS ON REAL HYPERSURFACES IN THE COMPLEX QUADRIC

By using the property of generalized pseudo-anti-commuting, Ric Φ + Φ Ric = f Φ, for real hypersurfaces in the complex quadric Qm = SOm+2/SO2SOm, we give a complete classification of Ricci-Bourguignon soliton Hopf real hypersurfaces in the complex quadric Qm. Then, as an application, we show a complete classification of Hopf Ricci-Bourguignon gradient solitons in the complex quadric Qm.

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.