Isotropic curvature: a survey. (English) Zbl 1183.53032

Seshadri, Harish

Actes de Séminaire de Théorie Spectrale et Géométrie. Année 2007–2008. St. Martin d’Hères: Université de Grenoble I, Institut Fourier. Séminaire de Théorie Spectrale et Géométrie 26, 139-144 (2008).

Summary: We discuss the notion of isotropic curvature of a Riemannian manifold and relations between the sign of this curvature and the geometry and topology of the manifold.
For the entire collection see [Zbl 1173.35005].

MSC:

53C20

Global Riemannian geometry, including pinching

Keywords:

Weyl curvature; Euler characteristic; Chern-Gauss-Bonnet theorem; asymptotically flat manifolds; Yamabe metric