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Determining the number of Killing tensors by (linear) algebra

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DataCite Commons2020-09-18 更新2025-04-16 收录
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http://siba-ese.unisalento.it/index.php/notemat/article/view/17182/14699
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It is a natural problem to determine the number of independent Killing tensors of a certain rank that a given metric admits. In this paper, it is discussed how this problem can be addressed in a computer-algebraic way. Pseudo-Riemannian metrics expressed in local coordinates are considered, with and without parameter dependence. No assumption is made about analyticity of the Killing tensors.
提供机构:
University of Salento
创建时间:
2017-05-31
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