Metric geometry is a branch of geometry with metric space as the main object of study. It is applied mostly to Riemannian geometry and group theory.

Subcategories

There are 2 subcategories to this category.

G

• General topology

R

• Riemannian geometry

Articles in category "Metric geometry"

There are 30 articles in this category.

Ball (mathematics) C Cauchy sequence Chebyshev distance Chessboard distance Christoffel symbols Complete space Contraction mapping Curve D Distance matrix E Euclidean distance

F Finsler geometry G Geodesic Glossary of Riemannian and metric geometry Great-circle distance Gromov's theorem on groups of polynomial growth Gromov-Hausdorff convergence Growth rate (group theory) H Hausdorff dimension Hausdorff distance Hopf-Rinow theorem Hyperbolic group

I Intrinsic metric Isometry K Kirszbraun theorem M Metric (mathematics) Metric space S Short map Sub-Riemannian manifold T Taxicab geometry Triangle inequality