双扭曲积Hermitian流形
On Doubly Warped Product of Hermitian Manifolds
主要研究双扭曲积Hermitian流形的各种曲率,给出了紧致非平凡的双扭曲积Hermitian流形具有常全纯截面曲率的充要条件,得到了一种构造满足第一或第二爱因斯坦条件的Hermitian流形的有效方法.
This paper is concerned with curvatures of doubly warped product (DWP) of Hermitian manifolds. The necessary and sufficient conditions for a compact nontrivial DWP-Hermitian manifold to have constant holomorphic sectional curvature were obtained. This study provides us an effective way to construct new Hermitian manifolds which satisfy the first or the second Einstein condition.
双扭曲积 / 陈Ricci数量曲率 / 全纯截面曲率 / 爱因斯坦条件 {{custom_keyword}} /
doubly warped product / Chern Ricci scalar curvature / holomorphic sectional curvature / Einstein condition {{custom_keyword}} /
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国家自然科学基金(11761069,11461064);新疆师范大学博士科研启动基金(XJNUBS1626)
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