## The curvature tensor of the Riemann manifold – all the details

Let’s start with the Riemann curvature tensor. The Riemann curvature tensor is a generalization of the curvature tensor of a 2-dimensional space and takes into account the fact that our 3-dimensional world has 4 dimensions. The curvature tensor is also used to calculate how much stress or strain will be exerted on objects when an …