Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:cause |
rotation of vectors after transport around a loop
|
| gptkbp:definedIn |
manifolds
|
| gptkbp:dependsOn |
connection on a manifold
|
| gptkbp:describes |
method of transporting vectors along a curve
|
| gptkbp:example |
transporting a vector along a geodesic on a sphere
|
| gptkbp:field |
gptkb:Riemannian_geometry
differential geometry |
| gptkbp:heldBy |
path-dependent in curved spaces
path-independent in flat spaces |
| https://www.w3.org/2000/01/rdf-schema#label |
Parallel transport
|
| gptkbp:introduced |
Levi-Civita
|
| gptkbp:mathematical_formulation |
differential equation involving connection
|
| gptkbp:preserves |
angle between vectors
length of vectors |
| gptkbp:relatedTo |
holonomy
affine connection covariant derivative |
| gptkbp:usedIn |
gptkb:gauge_theory
gptkb:general_relativity fiber bundles |
| gptkbp:bfsParent |
gptkb:Holonomy
|
| gptkbp:bfsLayer |
6
|