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
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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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