Example image of eyePlorer eyePlorer map for 'Holonomy': Connection (mathematics) Curvature Differentiable manifold Differential geometry Parallel transport Monodromy Symmetry Cartan connection Connection (principal bundle) Connection (vector bundle) Levi-Civita connection Principal bundle Riemannian geometry Vector bundle Lie group Symmetric space Cartesian product Georges de Rham Tangent bundle String theory Loop (topology) Piecewise Contractible space Conjugacy class Connected space Pointed space Up to Lie subgroup Identity component Coset Fundamental group Group homomorphism Surjective function Simply connected space If and only if Paracompact space Curvature form Affine connection Curvature tensor Lie algebra Dimension Orientability Orthogonal group Riemannian manifold Frobenius theorem (differential topology) Integrability conditions for differential systems Euclidean space Geodesic manifold Local property G2 manifold