| 满旗流形Sp(3)/T的不变爱因斯坦度量 |
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| 引用本文： | 高莹莹,王瑜.满旗流形Sp(3)/T的不变爱因斯坦度量[J].兰州理工大学学报,2023,49(1):164. |
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| 作者姓名： | 高莹莹 王瑜 |
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| 作者单位： | 四川轻化工大学 数学与统计学院, 四川 自贡 643000 |
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| 基金项目： | 四川省科技厅项目(2021ZYD0004) |
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| 摘 要： | 研究了迷向表示分为9个不可约子空间的满旗流形Sp(3)/T上的不变爱因斯坦度量,计算Sp(3)/T非零结构常数的值,根据其爱因斯坦方程,利用Maple软件得到64个不变爱因斯坦度量(差常数倍的情况下),在等距的意义下,其中有1个凯莱爱因斯坦度量和3个非凯莱爱因斯坦度量.
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| 关 键 词： | 广义旗流形 迷向表示 爱因斯坦度量 等距 |
| 收稿时间： | 2021-12-01 |
The invariant Einstein metrics of the full flag manifold Sp(3)/T |
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| GAO Ying-ying,WANG Yu.The invariant Einstein metrics of the full flag manifold Sp(3)/T[J].Journal of Lanzhou University of Technology,2023,49(1):164. |
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| Authors: | GAO Ying-ying WANG Yu |
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| Institution: | School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000 |
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| Abstract: | The invariant Einstein metrics of the full flag manifold Sp(3)/T that was divided into nine isotropy subspaces were studied. First, the value of the non-zero structure constant was calculated, then according to its Einstein equation, sixty-four invariant Einstein metrics (up to a scale) were obtained by the Maple, which included a unique Kähler Einstein metric and three non-Kähler Einstein metrics (up to isometry) in the sense of equidistance. |
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| Keywords: | generalized flag manifold isotropy representation Einstein metric isometry |
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