 While Killing vectors are associated with continuous symmetries (more precisely, differentiable), and hence very common, the concept of Killing tensor arises much less frequently.The Kerr solution is the most famous example of a manifold possessing a Killing tensor.An antisymmetric tensor of order "p", formula_3, is a Killing-Yano tensor if it satisfies the equation
While also a generalization of the Killing vector, it differs from the usual Killing tensor in that the covariant derivative is only contracted with one tensor index.