Linked from

The 20 pages that link to Smooth manifold, each with the reason it gives.

• Differential geometryBroader topic: It is the underlying space on which differential geometry defines smooth structures.

• Lie groupNarrower topic: It supplies the geometric structure underlying a Lie group.

• Tangent spaceNarrower topic: Tangent spaces are assigned to points of these spaces.

• Riemannian geometryNarrower topic: It is the underlying space on which a Riemannian metric is defined.

• Riemannian manifoldNarrower topic: It supplies the underlying space on which the Riemannian metric is defined.

• Riemannian metricNarrower topic: A Riemannian metric equips this smooth space with geometric measurements.

• FractalCompared with: Fractal boundaries can be too irregular to form smooth manifolds.

• ManifoldBroader topic: Smooth manifolds provide the standard setting for differential geometry.

• Affine connectionNarrower topic: Affine connections differentiate fields on this underlying smooth space.

• Exponential mapNarrower topic: The exponential map carries tangent vectors into points of this underlying space.

• Partition of unityNarrower topic: Smooth partitions of unity are a standard tool for combining constructions across manifold charts.

• Tensor fieldNarrower topic: Its points are the locations where the tensor assignment is defined.

• Exterior derivativeNarrower topic: The exterior derivative is defined on forms over smooth manifolds without depending on a chosen chart.

• Morse theoryNarrower topic: Morse theory studies smooth functions defined on these spaces.

• Differential topologyBroader topic: Differential topology studies the global properties of these spaces using their smooth structure.

• Symplectic geometryNarrower topic: Symplectic forms live on smooth manifolds.

• Generalized Stokes theoremNarrower topic: The theorem is formulated on manifolds where differential forms and integration are defined.

• Poincaré–Hopf theoremNarrower topic: The theorem concerns smooth vector fields defined on compact manifolds.

• John MilnorNarrower topic: Exotic spheres differ from standard spheres in their smooth structure, not their underlying topology.

• Whitney embedding theoremNarrower topic: The theorem applies to smooth manifolds and measures its bound using their dimension.