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ArticleOriginal scientific text

Title

Killing tensors and warped product

Authors 1

Affiliations

  1. Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Polan

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 ∇Xϱ(X,X)=2n+2Xτg(X,X)

Keywords

ENG
Ricci tensor, Killing tensor, Einstein manifold, warped product

Bibliography

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Annales Polonici Mathematici
2000/75/1
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Pages:
15-33
Main language of publication
English
Received
1999-06-30
Accepted
2000-02-28
Published
2000
Exact and natural sciences