A Killing tensor, named after Wilhelm Killing, is a symmetric tensor, known in the theory of general relativity,
where the parentheses on the indices refer to the symmetric part.
This is a generalization of a Killing vector. 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.
Killing-Yano tensor
An antisymetric tensor of order p,
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.