Linked from

The 12 pages that link to Exponential map, each with the reason it gives.

• Lie groupRelated: It connects algebraic directions to continuous motions in the group.

• Riemannian geometryRelated: It translates local tangent-space information into geodesic motion on the manifold.

• Lie algebraRelated: It converts infinitesimal generators into finite transformations, locally.

• Riemannian manifoldRelated: It converts tangent-space directions into geodesic neighborhoods on the manifold.

• Riemannian distanceRelated: It describes geodesics from a point and helps identify where minimizing behavior ends.

• SU(2)Related: Exponentiating elements of su(2) generates continuous families of SU(2) transformations.

• Baker–Campbell–Hausdorff formulaRelated: It is the bridge between the exponents and group elements in the formula.

• Cartan–Hadamard theoremRelated: The theorem's central map is the exponential map at each base point.

• Hopf–Rinow theoremRelated: Geodesic completeness means this map is defined on every tangent vector.

• Cartan–Hadamard conjectureRelated: The theorem makes this map global, allowing radial coordinates to describe the balls being compared.

• Closed-subgroup theoremRelated: Local coordinates from this map help reveal smooth structure near the identity.