Geodesic
A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold
Neculai Papaghiuc1
1 Department of Mathematics Technical University 6600 Iaşi, Romania
Colloquium Mathematicum, Tome 87 (2001) no. 2, pp. 227-233.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider a certain pseudo-Riemannian metric $G$ on the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ and obtain necessary and sufficient conditions for the pseudo-Riemannian manifold $(TM,G)$ to be Ricci flat (see Theorem 2).
DOI : 10.4064/cm87-2-8
Keywords: consider certain pseudo riemannian metric tangent bundle riemannian manifold obtain necessary sufficient conditions pseudo riemannian manifold ricci flat see theorem

Neculai Papaghiuc 1

1 Department of Mathematics Technical University 6600 Iaşi, Romania 
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Neculai Papaghiuc. A Ricci flat pseudo-Riemannian metric
on the tangent bundle of a Riemannian manifold. Colloquium Mathematicum, Tome 87 (2001) no. 2, pp. 227-233. doi : 10.4064/cm87-2-8. http://geodesic.mathdoc.fr/articles/10.4064/cm87-2-8/

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