Example image of eyePlorer eyePlorer map for 'Riemannian geometry': Elliptic geometry Differential geometry Inner product space Manifold Riemannian manifold Smooth function Tangent space Angle Arc length Surface area Volume Integral Bernhard Riemann Differential geometry of surfaces Differentiable manifold Geodesic Albert Einstein Algebraic topology Differential topology General relativity Group theory Representation theory Euclidean geometry Hyperbolic geometry Non-Euclidean geometry Spherical geometry Pseudo-Riemannian manifold Finsler manifold Glossary of Riemannian and metric geometry List of differential geometry topics Jeff Cheeger Euler characteristic Gauss–Bonnet theorem Generalized Gauss–Bonnet theorem Fundamental theorem of Riemannian geometry Nash embedding theorem Embedding Euclidean space Sphere theorem Almost flat manifold Nilmanifold Soul theorem Diffeomorphism Grigori Perelman Betti number Fundamental group Splitting theorem Gromov–Hausdorff convergence Metric space Cartan–Hadamard theorem