Category:Metric geometry

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

Subcategories

There are 2 subcategories to this category shown below (more may be shown on subsequent pages).

N

• Norms (mathematics)

R

• Riemannian geometry

Pages in category "Metric geometry"

There are 64 pages in this section of this category.

B Ball (mathematics) Beckman-Quarles theorem Bregman divergence C Cauchy sequence Chebyshev distance Coarse structure Comparison triangle Complete metric space Contraction mapping Curve D Δ-hyperbolic space Dilation (mathematics) Distance geometry Distance matrix E Epsilon-neighborhood Equivalence of metrics Euclidean distance F Fréchet surface G Geodesic Glossary of Riemannian and metric geometry Great-circle distance

G cont. Gromov's theorem on groups of polynomial growth Gromov-Hausdorff convergence Growth rate (group theory) H Hausdorff dimension Hausdorff distance Heine–Cantor theorem Hemimetric space Hopf–Rinow theorem Hyperbolic group I Injective metric space Intrinsic metric Isometry Isometry group J Jung's theorem K Kirszbraun theorem L Lévy metric Lévy-Prokhorov metric M Metric (mathematics) Metric derivative Metric space Minkowski plane P Polish space

P cont. Prametric space Probabilistic metric space Probability metric Product metric Pseudometric space Pythagoras's theorem proof (rational trigonometry) Q Quasimetric space R Rational trigonometry S Semimetric space Short map Signal-to-noise statistic Spread polynomials Sub-Riemannian manifold T T-theory Taxicab geometry Tight span Tree-graded space Triangle inequality U Ultrametric space W Wasserstein metric Word metric

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Category: Geometry

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• This page was last modified 16:13, 25 September 2006 by Wikipedia user Charles Matthews. Based on work by Wikipedia user(s) YurikBot, Bluebot, Tosha, MathMartin, Seabhcan and Lupin.
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