Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
comparison theorems in Riemannian geometry
normal coordinates study of geodesics |
| gptkbp:defines |
maps a tangent vector at a point to the endpoint of the geodesic starting at that point with that initial velocity
|
| gptkbp:field |
differential geometry
|
| gptkbp:generalizes |
matrix exponential
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riemannian exponential map
|
| gptkbp:introduced |
gptkb:Bernhard_Riemann
|
| gptkbp:mappedFrom |
tangent space
|
| gptkbp:mapType |
gptkb:Riemannian_manifold
|
| gptkbp:notation |
exp_p
|
| gptkbp:property |
local diffeomorphism near the origin of the tangent space
|
| gptkbp:relatedTo |
gptkb:geometry
gptkb:Riemannian_manifold |
| gptkbp:usedIn |
gptkb:Riemannian_geometry
|
| gptkbp:bfsParent |
gptkb:Riemannian_geometry
|
| gptkbp:bfsLayer |
5
|