Example image of eyePlorer eyePlorer map for 'Levi-Civita connection': Affine connection Connection (mathematics) Metric connection Pseudo-Riemannian manifold Riemannian geometry Riemannian manifold Tangent bundle Torsion tensor Fundamental theorem of Riemannian geometry Covariant derivative Christoffel symbols Elwin Bruno Christoffel Tullio Levi-Civita Gregorio Ricci-Curbastro Holonomy Parallel transport Riemann curvature tensor Derivative Function (mathematics) Lie derivative Vector field Curve Pullback (differential geometry) Pullback bundle Geodesic Metric tensor Orthogonal group Dot product Contorsion tensor Gauss's lemma (Riemannian geometry) Hermitian connection Normal coordinates Spin connection Generalized Gauss–Bonnet theorem Information geometry List of formulas in Riemannian geometry Jacobi field Killing vector field Laplace operators in differential geometry Weitzenböck identity Curvature of Riemannian manifolds Weyl transformation Cartan connection Einstein–Hilbert action Gauss–Codazzi equations Harmonic map Connection form Ricci curvature Linearized gravity Riemannian connection on a surface