Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator
Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator
复制标题
拉普拉斯算子的对称 Killing 张量和交换对称性的延长
DOI：
10.1216/rmj-2017-47-2-587
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Josef Šilhan
中科院分区：
文献类型：
--
作者：
Jean;P. Somberg;Josef Šilhan
我们确定了常曲率伪黎曼流形上拉普拉斯算子的交换对称空间，并推导了其代数结构。我们的构造基于黎曼拖拉机微积分，允许构造对称 Killing 张量的微分系统的延伸。我们还讨论了它与射影微分几何关系的一些方面。
We determine the space of commuting symmetries of the Laplace operator on pseudo-Riemannian manifolds of constant curvature, and derive its algebra structure. Our construction is based on the Riemannian tractor calculus, allowing to construct a prolongation of the differential system for symmetric Killing tensors. We also discuss some aspects of its relation to projective differential geometry.