Killing tensors and warped product
Volume 75 / 2000
Annales Polonici Mathematici 75 (2000), 15-33
DOI: 10.4064/ap-75-1-15-33
Abstract
We present some examples of Killing tensors and give their geometric interpretation. We give new examples of non-compact complete and compact Riemannian manifolds whose Ricci tensor ϱ satisfies the condition $∇_{X} ϱ(X,X) = 2/(n+2) Xτg(X,X)$