Approximation theorems, 𝐶^{∞} convex exhaustions and manifolds of positive curvature
Approximation theorems, 𝐶^{∞} convex exhaustions and manifolds of positive curvature
In this note, we announce several approximation theorems on Riemannian manifolds as well as some of their consequences.First recall the relevant définitions.Let M be a Riemannian manifold.A function ƒ: M -• R is called convex iff its restriction to each geodesic is a convex function of one variable.A function ƒ …