Quelques exemples de variétés riemanniennes complètes non compactes à courbure de Ricci positive. (Some examples of non-compact complete Riemannian manifolds with positive Ricci curvature). (French) Zbl 0585.53033
Summary: We give an explicit construction of a complete Riemannian metric with positive Ricci curvature on the product \({\mathbb{R}}^ p\times M\) as soon as \(p\geq 3\) and M admits a complete Riemannian metric with nonnegative Ricci curvature (as for examples tori or compact hyperkählerian manifolds).
MSC:
| 53C20 | Global Riemannian geometry, including pinching |
