Example image of eyePlorer eyePlorer map for 'Gaussian curvature': Differential geometry Principal curvature Surface Embedding Carl Friedrich Gauss Theorema Egregium Curvature Covariant derivative Metric tensor Differential geometry of surfaces Isothermal coordinates Liouville's equation Implicit function theorem Hessian matrix Surface integral Geodesic Triangle Euclidean geometry Gauss–Bonnet theorem First fundamental form Partial derivative Determinant Second fundamental form Intrinsic and extrinsic properties Invariant (mathematics) Isometry Differentiable manifold Riemannian manifold Diffeomorphism Cylinder (geometry) Sphere Map projection Euler characteristic Ferdinand Minding Developable surface Closed surface Cusp (singularity) Pseudosphere Orthogonal coordinates Area Christoffel symbols Circumference Bertrand–Diquet–Puiseux theorem Hilbert's theorem (differential geometry) Uniformization theorem Hyperbolic law of cosines Sectional curvature Willmore energy Monkey saddle Pu's inequality