Linked from

The 17 pages that link to Manifold, each with the reason it gives.

• GeodesicNarrower topic: Geodesics generalize straight lines from Euclidean space to manifolds.

• Vector fieldNarrower topic: Vector fields extend from ordinary regions to curved spaces.

• Configuration spaceNarrower topic: When the underlying space is a manifold, its point configurations often inherit manifold structure.

• State spaceRelated: A system’s valid states may lie on a manifold rather than fill all coordinate combinations.

• Coordinate transformationNarrower topic: Coordinate transformations connect the local descriptions used on a manifold.

• Christoffel symbolsNarrower topic: Christoffel symbols describe connections on manifolds in local coordinates.

• Stokes' theoremNarrower topic: The theorem's general form applies to oriented manifolds with boundary.

• Möbius stripNarrower topic: The strip is a two-dimensional manifold with boundary.

• Poincaré lemmaNarrower topic: Local exactness is asserted on smooth manifolds.

• Gregorio Ricci-CurbastroRelated: Tensor calculus expresses geometric quantities on manifolds without relying on one coordinate chart.

• 3-sphereRelated: The 3-sphere is locally three-dimensional despite its four-dimensional embedding.

• Nagata–Smirnov metrization theoremRelated: Standard manifold hypotheses often provide regularity and countability conditions that yield metrization.

• Sard's theoremNarrower topic: The theorem extends a Euclidean result to maps on curved spaces.

• Hilbert–Smith conjectureNarrower topic: The conjecture concerns group actions on connected manifolds, including topological manifolds.

• Mathematics of general relativityRelated: Spacetime is modeled as a four-dimensional manifold.

• Ricci calculusNarrower topic: Ricci calculus describes tensor fields on manifolds, including spaces whose curvature varies from point to point.

• Two-dimensional spaceNarrower topic: A two-dimensional space can be a surface that looks planar only nearby.