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Generalized killing tensors of arbitrary rank and order

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Abstract

We define Killing tensors and conformal Killing tensors of arbitrary rank and order which generalize in a natural way the notion of a Killing vector. We explicitly derive the corresponding tensors for a flat de Sitter space of dimension p+q=m,m≤ 4, which permits us to calculate complete sets of symmetry operators of arbitrary order n for a scalar wave equation with m independent parameters.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    A. G. Nikitin

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  1. A. G. Nikitin
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 6, pp. 786–795, June, 1991.

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Nikitin, A.G. Generalized killing tensors of arbitrary rank and order. Ukr Math J 43, 734–743 (1991). https://doi.org/10.1007/BF01058941

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  • DOI: https://doi.org/10.1007/BF01058941

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