Linked from

The 27 pages that link to Isometry, each with the reason it gives.

• Metric spaceRelated: It identifies structure-preserving transformations of metric spaces.

• Euclidean spaceRelated: Isometries preserve Euclidean structure even when coordinates or positions change.

• Euclidean distanceRelated: Euclidean isometries preserve this distance under translations, rotations, and reflections.

• Hyperbolic geometryRelated: Hyperbolic isometries preserve the geometry while moving points and geodesics.

• Congruence (geometry)Related: Isometries formalize the transformations that carry one congruent figure onto another.

• Point groupRelated: The geometric symmetries in ordinary point groups preserve distances.

• Euclidean planeRelated: Isometries capture the plane’s rigid motions without changing its geometry.

• Rigid motionRelated: Rigid motion is the Euclidean-space case of this broader concept.

• Theorema EgregiumRelated: The theorem concerns what curvature survives when a surface is bent without stretching.

• Gromov–Hausdorff convergenceRelated: The convergence notion treats isometric spaces as identical, regardless of their point labels or presentation.

• Kirszbraun theoremRelated: Hilbert-space embeddings help relate the Euclidean theorem to broader metric settings.

• Mostow rigidity theoremRelated: The theorem upgrades topological equivalence to an isometry of hyperbolic manifolds.

• Banach–Mazur theoremRelated: The theorem asserts a linear embedding that preserves the Banach-space norm exactly.

• Doris SchattschneiderRelated: Isometries describe how repeated figures move across a tessellated plane.

• Dvoretzky's theoremRelated: Exact isometric copies of Euclidean spaces are stronger than the theorem's approximate copies.