A conformal characterization of manifolds of constant sectional curvature

Xiaoyang Chen, Francisco Fontenele, Frederico Xavier

A special case of the main result states that a complete $1$-connected Riemannian manifold $(M^n,g)$ is isometric to one of the models ${\mathbb{R}}^n$, $S^n(c)$, ${\mathbb{H}}^n(-c)$ of…