New posts in Curvature

The sphere is not uniformly close to being isometric to Euclidean space

Is this identity about the Ricci curvature true?

How can I find the radius of curvature of a pipe when given the angle?

Since the Curvature tensor depends on a connection(not metric), is it the relevant quantity to characterize the curvature of Riemannian manifolds?

How to know when a curve has maximum curvature and why?

Curvature of the earth from Theorema Egregium

$S\subset\mathbb{R}^3$ compact, orientable, not a sphere $\Rightarrow K$ has positive and negative values

Vanishing of curvature tensor implies path independence of parallel transport only to second order?

A generalization of the "Four vertex theorem"

Intrinsic and Extrinsic curvature