| 切触伪度量流形的特征向量场 |
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| 引用本文： | 周翔,王文杰,王雅宁,刘西民.切触伪度量流形的特征向量场[J].河南科学,2012(9):1187-1190. |
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| 作者姓名： | 周翔 王文杰 王雅宁 刘西民 |
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| 作者单位： | [1]华南理工大学理学院,广州510640 [2]大连理工大学数学科学学院,辽宁大连116024 |
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| 基金项目： | 国家自然科学基金重点项目（10931005）;广东省自然科学基金（S2011010000471） |
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| 摘 要： | 设M2n+1为切触伪度量流形,ξ为M2n+1的特征向量场,主要研究切触伪度量流形的ξ-截曲率.当ξ为共形Killing向量场时,给出了M2n+1为K-切触流形的充要条件.
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| 关 键 词： | 伪度量 切触结构 ξ-截曲率 共形Killing向量场 D-位似变换 |
Characteristic Vector Field of Contact Pseudo-metric Manifolds |
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| Zhou Xiang,Wang Wenjie,Wang Yaning,Liu Ximin.Characteristic Vector Field of Contact Pseudo-metric Manifolds[J].Henan Science,2012(9):1187-1190. |
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| Authors: | Zhou Xiang Wang Wenjie Wang Yaning Liu Ximin |
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| Institution: | 2 (1. Department of Mathematics, South China University of Technology, Guangzhou 510640, Chinm 2. School of Mathematical Science, Dalian University of Technology, Dalian 116024, Liaoning China) |
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| Abstract: | We study the sectional curvature of a plane spanned by a vector field X and the characteristic vector field on a contact pseudo-metric manifold M2n＋1. Moreover, the necessary and sufficient conditions for a contact pseudo-metric manifold to be a K-contact manifold are investigated. |
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| Keywords: | pseudo-metric contact structure E-sectional curvature conformal Killing field D-homotheticdeformation |
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