KnowraLevi-Civita connectionLinked fromLinked fromThe 11 pages that link to Levi-Civita connection, each with the reason it gives.All 11Broader topic 4Related 7Covariant derivativeBroader topic: It is the standard choice of covariant derivative in Riemannian geometry.Affine connectionBroader topic: It is the distinguished affine connection selected when a metric is supplied.Tullio Levi-CivitaBroader topic: This construction bears his name and is the standard connection used in Riemannian geometry.Fundamental theorem of Riemannian geometryBroader topic: It is the connection whose existence and uniqueness the theorem asserts.