curvatureCondition
P161401
predicate
Indicates that a specified geometric object or path satisfies a particular constraint or requirement on its curvature.
Observed surface forms (2)
- hasCurvatureCondition ×1
- sectionalCurvatureInPlanesContainingRDirection ×1
Sample triples (4)
| Subject | Object |
|---|---|
| Hopf conjecture (on Euler characteristic and curvature) | everywhere positive sectional curvature ⓘ |
| Hopf conjecture (on Euler characteristic and curvature) | everywhere negative sectional curvature ⓘ |
| Three-manifolds with positive Ricci curvature | positive Ricci curvature via predicate surface "hasCurvatureCondition" ⓘ |
| S^2 × R geometry | nonpositive or zero depending on metric choice via predicate surface "sectionalCurvatureInPlanesContainingRDirection" ⓘ |