张留伟, 李兴校, 贾志刚. Einstein流形上满足dξ*为共形Killing形式的Killing向量场ξ[J]. 信阳师范学院学报(自然科学版), 2010, 23(1): 28-31.
引用本文: 张留伟, 李兴校, 贾志刚. Einstein流形上满足dξ*为共形Killing形式的Killing向量场ξ[J]. 信阳师范学院学报(自然科学版), 2010, 23(1): 28-31.
Killing Vector Fields ξ Satisfying dξ* be Conformal Killing form on Einstein Manifolds[J]. Journal of Xinyang Normal University (Natural Science Edition), 2010, 23(1): 28-31.
Citation: Killing Vector Fields ξ Satisfying dξ* be Conformal Killing form on Einstein Manifolds[J]. Journal of Xinyang Normal University (Natural Science Edition), 2010, 23(1): 28-31.

Einstein流形上满足dξ*为共形Killing形式的Killing向量场ξ

Killing Vector Fields ξ Satisfying dξ* be Conformal Killing form on Einstein Manifolds

  • 摘要: 研究了在Einstein流形上存在某种非平凡Killing向量场的必要条件;同时给出了两个例子:1)标准球S6上的基本向量场;2)S2×S3上的单位Killing向量场.

     

    Abstract: The necessary conditions of the existence of some nontrival Killing vector field on Einstein manifolds are investigated,and two examples are given.

     

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