| 双扭曲积Hermitian流形 |
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| 引用本文： | 何勇,张晓玲.双扭曲积Hermitian流形[J].数学学报,2018,61(5):835-842. |
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| 作者姓名： | 何勇 张晓玲 |
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| 作者单位： | 1. 新疆师范大学数学科学学院 乌鲁木齐 830053;
2. 新疆大学数学与系统科学学院 乌鲁木齐 830046 |
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| 基金项目： | 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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| 摘 要： | 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.
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On Doubly Warped Product of Hermitian Manifolds |
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| Yong HE,Xiao Ling ZHANG.On Doubly Warped Product of Hermitian Manifolds[J].Acta Mathematica Sinica,2018,61(5):835-842. |
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| Authors: | Yong HE Xiao Ling ZHANG |
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| Institution: | 1. School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830053, P. R. China;
2. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, P. R. China |
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| Abstract: | 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. |
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| Keywords: | doubly warped product Chern Ricci scalar curvature holomorphic sectional curvature Einstein condition |
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