Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:builtBy |
pullback of the ambient metric
|
| gptkbp:category |
metric geometry
|
| gptkbp:defines |
A Riemannian metric on a submanifold inherited from the ambient Riemannian manifold
|
| gptkbp:example |
the metric on a sphere as a submanifold of Euclidean space
|
| gptkbp:field |
differential geometry
|
| gptkbp:hasProperty |
positive-definite
|
| https://www.w3.org/2000/01/rdf-schema#label |
induced Riemannian metric
|
| gptkbp:relatedTo |
gptkb:Riemannian_manifold
submanifold |
| gptkbp:usedFor |
measuring lengths and angles on submanifolds
|
| gptkbp:bfsParent |
gptkb:Riemannian_submanifold
|
| gptkbp:bfsLayer |
6
|