Metric connection on Riemannian manifold
Source: 2021 Miklos Schweitzer, P8
November 2, 2021
manifoldsdifferential geometrytopology
Problem Statement
Prove that for a -dimensional Riemannian manifold there is a metric linear connection with zero curvature if and only if the Gaussian curvature of the Riemannian manifold can be written as the divergence of a vector field.