Ukrainian Mathematical Journal

, Volume 43, Issue 6, pp 734-743

First online:

Generalized killing tensors of arbitrary rank and order

  • A. G. NikitinAffiliated withInstitute of Mathematics, Academy of Sciences of the Ukrainian SSR

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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.