Statements (62)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:concept
|
| gptkbp:bfsLayer |
3
|
| gptkbp:bfsParent |
gptkb:Grigori_Perelman
|
| gptkbp:applies_to |
gptkb:musician
Riemannian manifolds 3-manifolds |
| gptkbp:can_lead_to |
singularities
|
| gptkbp:connects |
gptkb:television_channel
|
| gptkbp:defines |
smooth Riemannian manifolds
|
| gptkbp:developed_by |
gptkb:Richard_S._Hamilton
|
| gptkbp:has_programs |
gptkb:physicist
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ricci flow
|
| gptkbp:is_a |
gptkb:political_organization
gptkb:Mathematician gptkb:Model gptkb:software_framework gptkb:computer partial differential equation geometric flow concept in mathematics concept in mathematical physics evolution equation flow of metrics geometric flow equation tool for studying manifolds method in geometric analysis approach in differential equations approach in geometric topology approach in mathematical physics concept in differential geometry concept in mathematical analysis concept in modern geometry dynamical system in geometry framework for studying shapes geometric analysis technique geometric evolution equation geometric flow of metrics method for analyzing curvature properties method for analyzing geometric structures method for studying geometric flows method for studying geometric structures method for studying topology method for understanding curvature nonlinear parabolic equation technique in Riemannian geometry technique in mathematical analysis tool for understanding geometric properties |
| gptkbp:is_connected_to |
gptkb:Poincaré_conjecture
differential topology |
| gptkbp:is_described_as |
deformation of the metric
|
| gptkbp:is_related_to |
gptkb:Calabi_conjecture
Kähler metrics Ricci curvature Einstein equations metric geometry |
| gptkbp:is_studied_in |
gptkb:Mathematician
differential geometry |
| gptkbp:is_used_in |
gptkb:general_relativity
mathematical physics geometric analysis |
| gptkbp:is_used_to |
prove the Geometrization Conjecture
study the shape of the universe |