Killing tensors and warped product
Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 15-33
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $∇_{X} ϱ(X,X) = 2/(n+2) Xτg(X,X)$
Keywords:
Ricci tensor, Killing tensor, Einstein manifold, warped product
Włodzimierz Jelonek. Killing tensors and warped product. Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 15-33. doi: 10.4064/ap-75-1-15-33
@article{10_4064_ap_75_1_15_33,
author = {W{\l}odzimierz Jelonek},
title = {Killing tensors and warped product},
journal = {Annales Polonici Mathematici},
pages = {15--33},
year = {2000},
volume = {75},
number = {1},
doi = {10.4064/ap-75-1-15-33},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-75-1-15-33/}
}
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