The Ricci Tensor

The Ricci tensor is an essential object in differential geometry and general relativity. We explain how the Ricci tensor is obtained by contracting two indices in the Riemann-Christoffel tensor. The resulting tensor is a symmetric rank two covariant tensor. The Ricci tensor encoded information as to how the volume of a small geodesic ball differs from Euclidean balls due to curvature. #mikethemathematician, #profdabkowski, #mikedabkowski, #tensoranalysis