# Geometry of Einstein Tensor

1. May 7, 2014

### ChrisVer

Do you know how could I interpret the Einstein Tensor geometrically (on a general manifold)?
For example the Christoffel Symbols can show someone the divergence/convergence of geodesics and/or show how the change of metric from point to point creates an additional force/potential (through the equation of geodesics), as well as how we can parallel transpose a vector (since they appear in the covariant derivative as connections)
I guess this should go all the way up to interpreting the Riemann curvature tensor?

2. May 7, 2014