Example image of eyePlorer eyePlorer map for 'Tangent vector': Curve Euclidean vector Surface Differential geometry of curves Manifold Tangent space Covariant derivative Hairy ball theorem Metric tensor P-vector Parallelizable manifold Spherical image Equiareal map Subbundle Connection (vector bundle) Exponential map Geodesic Connection (principal bundle) First fundamental form Generalized complex structure Schild's ladder Sectional curvature Schwarz–Ahlfors–Pick theorem Congruence (general relativity) Curvature invariant Frenet–Serret formulas Causal structure Lagrange multipliers Fresnel integral Spin-weighted spherical harmonics Tangential and normal components Carathéodory metric Levi-Civita parallelogramoid Cotangent space Vector field Geodesics as Hamiltonian flows Gödel metric Conformal geometry Signorini problem Einstein–Cartan theory Stiefel manifold Differential of a function Scalar theories of gravitation Derivation (abstract algebra) Matrix exponential Vector (mathematics and physics) Differential form Covariant transformation Topology Tensor