Category:リーマン幾何学

Riemannian geometry

Ricci curvature

Christoffel symbols

Second fundamental form

Covariance and contravariance of vectors

Gravitational instanton

Geometric flow

Fundamental theorem of Riemannian geometry

Scalar curvature

Riemann curvature tensor

Nash embedding theorems

Gromov–Hausdorff convergence

Hodge star operator

Spectral geometry

Hermitian connection

Rayleigh–Faber–Krahn inequality

Theorema Egregium

Abel–Jacobi map

Ehresmann connection

Connection (vector bundle)

Parallel transport

Arithmetic hyperbolic 3-manifold

Hilbert manifold

Ricci-flat manifold

De Sitter space

Sectional curvature

Poincaré metric