| 引力波的平行射线矢量场的确定 |
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| 引用本文： | 何世本.引力波的平行射线矢量场的确定[J].辽宁工程技术大学学报(自然科学版),1995(3). |
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| 作者姓名： | 何世本 |
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| 作者单位： | 阜新矿业学院基础部 |
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| 摘 要： | 本文探讨了引力波的平行射线矢量场问题．给出了确定平行射线矢量场的充要条件还得到了有关个场存在性的一个充分条件和一个必要条件．最后．举例说明了本文主要结果的应用。
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| 关 键 词： | 引力波，平行射线矢量场，Frobenius可积性定理，黎曼几何的积分公式 |
Determination of the Vector Field With Parallel Rays for Gravitational Waves |
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| He Shiben.Determination of the Vector Field With Parallel Rays for Gravitational Waves[J].Journal of Liaoning Technical University (Natural Science Edition),1995(3). |
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| Authors: | He Shiben |
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| Abstract: | The paper studies the vector field problem with parallel rays of gravitational waves.Necessary and sufficient conditions for determining vector field with parallel rays are given. A sufficient and a necessary of this field existence are derived as well. Finally, a number of examples illustrating the application of present results are provided. |
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| Keywords: | gravitational wave vector field with parallel rays frobenius integrabilty theorem integral formulas in Riemannian Geometry |
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