Levi-Civita 1917 parallel-transport on Riemannian manifold preserves vector along curves; defined by connection nabla_X Y = X^mu (partial_mu Y^nu + Gamma^nu_mu_rho Y^rho); holonomy group encodes curvature.
Levi-Civita 1917 parallel-transport on Riemannian manifold preserves vector along curves; defined by connection nabla_X Y = X^mu (partial_mu Y^nu + Gamma^nu_mu_rho Y^rho); holonomy group encodes curvature.