Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:differential_geometry_concept |
| gptkbp:definedIn |
submanifold of a Riemannian manifold with induced metric
|
| gptkbp:example |
curve in a Riemannian manifold
surface in Euclidean 3-space |
| gptkbp:hasApplication |
gptkb:general_relativity
geometric analysis theory of minimal surfaces |
| gptkbp:hasConcept |
gptkb:Weingarten_map
mean curvature second fundamental form Gauss equation normal bundle |
| gptkbp:hasProperty |
gptkb:induced_Riemannian_metric
|
| gptkbp:relatedTo |
extrinsic geometry
intrinsic geometry isometric immersion |
| gptkbp:studiedBy |
differential geometry
|
| gptkbp:subclassOf |
gptkb:Riemannian_manifold
submanifold |
| gptkbp:bfsParent |
gptkb:Riemannian_geometry
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riemannian submanifold
|