A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold
Neculai Papaghiuc
Colloquium Mathematicae, Tome 89 (2001), p. 227-233 / Harvested from The Polish Digital Mathematics Library
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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).

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:283728 
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Neculai Papaghiuc. A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold. Colloquium Mathematicae, Tome 89 (2001) pp. 227-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-2-8/