Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:geometric_flow |
| gptkbp:category |
gptkb:partial_differential_equations
geometric analysis |
| gptkbp:describes |
evolution of Riemannian metrics
|
| gptkbp:field |
differential geometry
|
| gptkbp:governingEquation |
∂g_ij/∂t = -2 Ric_ij
|
| gptkbp:hasApplication |
mathematical physics
geometric analysis topology of 3-manifolds |
| gptkbp:introduced |
gptkb:Richard_S._Hamilton
|
| gptkbp:introducedIn |
1982
|
| gptkbp:notableContributor |
gptkb:Grigori_Perelman
|
| gptkbp:relatedTo |
gptkb:heat_equation
gptkb:Riemannian_geometry Ricci curvature |
| gptkbp:usedIn |
proof of Poincaré conjecture
proof of geometrization conjecture |
| gptkbp:bfsParent |
gptkb:Thurston's_geometrization_theorem
gptkb:Differential_Geometry gptkb:Poincaré_conjecture gptkb:Ricci_tensor gptkb:Richard_S._Hamilton gptkb:Grigori_Perelman gptkb:geometrization_conjecture |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ricci flow
|