Example image of eyePlorer eyePlorer map for 'Riemannian manifold': Differentiable manifold Inner product space Riemannian geometry Tangent space Metric tensor Positive definite Symmetric tensor Angle Area Curvature Curve Divergence Gradient Vector field Volume Hilbert space Bernhard Riemann Tangent bundle Norm (mathematics) Integral Glossary of differential geometry and topology Nash embedding theorem Intrinsic metric Isometry Metric space Section (fiber bundle) Connected space Infimum Geodesic Compact space Glossary of topology Complete metric space Hopf–Rinow theorem Topological space Basis (linear algebra) Local coordinates Cotangent bundle Dual basis Euclidean distance Euclidean space Immersion (mathematics) Submanifold Pullback (differential geometry) Pushforward (differential) Submersion (mathematics) Paracompact space Atlas (topology) Locally finite Partition of unity Change of variables