A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold

• Autorzy: Neculai Papaghiuc
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 53C07: Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)
• 53C50: Lorentz manifolds, manifolds with indefinite metrics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 2
• Strony: 227-233

Daty

wydano

2001

Twórcy

autor

Neculai Papaghiuc

• Department of Mathematics, Technical University, 6600 Iaşi, Romania

Identyfikatory

DOI

10.4064/cm87-2-8