Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:geometry
gptkb:theoretical_physics |
| gptkbp:defines |
smooth maps between Riemannian manifolds that extremize the energy functional
|
| gptkbp:energyFunctional |
integral of the norm squared of the differential
|
| gptkbp:field |
differential geometry
mathematical analysis |
| gptkbp:generalizes |
harmonic functions
|
| gptkbp:hasSpecialCase |
geodesics
minimal immersions |
| https://www.w3.org/2000/01/rdf-schema#label |
harmonic maps
|
| gptkbp:introducedIn |
1964
|
| gptkbp:relatedTo |
harmonic functions
minimal surfaces |
| gptkbp:satisfies |
harmonic map equation
|
| gptkbp:studiedBy |
gptkb:mathematician
Eells and Sampson |
| gptkbp:usedIn |
gptkb:string_theory
calculus of variations theory of minimal surfaces |
| gptkbp:bfsParent |
gptkb:Riemannian_Geometry
gptkb:Harmonic_Maps,_Loop_Groups,_and_Integrable_Systems |
| gptkbp:bfsLayer |
8
|