The exterior derivative as a Killing vector field
The exterior derivative as a Killing vector field
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作为 Killing 向量场的外导数
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
O. Sánchez
中科院分区：
文献类型：
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作者：
J. Monterde;O. Sánchez
在微分形式代数的所有齐次黎曼分级度量中，外导数是 Killing 分级矢量场的度量被表征。结果表明，它们都是奇数，并且自然地与潜在的平滑黎曼度量相关。还表明它们在分级意义上都是 Ricci 平坦的，并且具有消除整个微分形式代数的分级拉普拉斯算子。
Among all the homogeneous Riemannian graded metrics on the algebra of differential forms, those for which the exterior derivative is a Killing graded vector field are characterized. It is shown that all of them are odd, and are naturally associated to an underlying smooth Riemannian metric. It is also shown that all of them are Ricci-flat in the graded sense, and have a graded Laplacian operator that annihilates the whole algebra of differential forms.