Ricci flow

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
geometric flow
gptkbp:category 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
https://www.w3.org/2000/01/rdf-schema#label Ricci flow
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:Grigori_Perelman
gptkbp:bfsLayer 4