数学杂志2024，Vol.44Issue(2)：141-156,16.
弱B对称流形
WEAKLY B SYMMETRIC MANIFOLDS
摘要
Abstract
In this paper,we study some geometric properties of a special symmetric manifolds(weakly B-symmetric manifolds,denoted by(WBS)n).By using the symmetry of B tensor,we obtain a sufficient condition for(WBS)n to be an Einstein manifold of level 2 and prove that such manifold is a quasi-Einstein manifold.According to the method of index rotation,we obtain a necessary and sufficient condition for 1-forms K and ω is closed,respectively.Then we study Einstein(WBS)n(n＞2).Finally,we construct an example of(WBSS)4 manifold.关键词
弱B对称流形/2阶爱因斯坦流形/拟爱因斯坦流形/1-形式Key words
weakly B symmetric manifolds/Einstein manifolds of level 2/quasi-Einstein manifolds/one-forms分类
数理科学引用本文复制引用
黄志明,甘丽宁,卢卫君..弱B对称流形[J].数学杂志,2024,44(2):141-156,16.基金项目
国家自然科学基金资助(12061014) （12061014）
广西自然科学基金项目资助(2019GXNSFAA245043). （2019GXNSFAA245043）
