Example image of eyePlorer eyePlorer map for 'Parallel transport': Geometry Manifold Affine connection Connection (vector bundle) Covariant derivative Tangent bundle Connection (mathematics) Vector bundle Cartan connection Ehresmann connection Principal bundle Reference frame Infinitesimal Curvature Holonomy Curve Section (fiber bundle) Fiber bundle Initial value problem Ordinary differential equation Picard–Lindelöf theorem Linear map Automorphism Group action Geodesic Metric connection Metric tensor Pseudo-Riemannian manifold Riemannian geometry Connection (principal bundle) Lie group Homogeneous space Horizontal bundle Klein geometry Development (differential geometry) Levi-Civita parallelogramoid Parallelogram Schild's ladder Introduction to mathematics of general relativity Thomas precession Fundamental theorem of Riemannian geometry Torsion tensor Levi-Civita connection Riemannian connection on a surface History of loop quantum gravity Lattice gauge theory Alexander Beilinson Hyperkähler manifold Kähler manifold Loop quantum gravity