吉林大学学报（理学版）2025，Vol.63Issue(6)：1622-1628,7.DOI:10.13413/j.cnki.jdxblxb.2025052
η-Ricci-Bourguignon孤立子的刚性结果
Rigidity Results of η-Ricci-Bourguignon Solitons
摘要
Abstract
Firstly,by using the divergence theorem and geometric analysis methods,we studied the rigidity problem of compact η-Ricci-Bourguignon solitons,and obtained two key integral formulas for the potential vector field of the soliton and the dual vector field of η.Secondly,under different integral conditions,we obtain rigidity results of the soliton,which proves that the soliton is either anη-Einstein manifold or an Einstein manifold.关键词
η-Ricci-Bourguignon孤立子/Einstein流形/Killing向量场/对偶向量场Key words
η-Ricci-Bourguignon soliton/Einstein manifold/Killing vector field/dual vector field分类
数理科学引用本文复制引用
杨瑞瑞,刘建成..η-Ricci-Bourguignon孤立子的刚性结果[J].吉林大学学报（理学版）,2025,63(6):1622-1628,7.基金项目
国家自然科学基金(批准号:12161078)和甘肃省基础研究创新群体项目(批准号:24JRRA778). （批准号:12161078）
