theorem of the index for surfaces
GPTKB entity
Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:compact_Riemann_surfaces
|
| gptkbp:concerns |
elliptic differential operators
|
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
theorem of the index for surfaces
|
| gptkbp:relatedTo |
gptkb:Riemann-Roch_theorem
gptkb:Atiyah-Singer_index_theorem |
| gptkbp:state |
the index of an elliptic operator on a surface equals the analytical index minus the topological index
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
complex analysis |
| gptkbp:bfsParent |
gptkb:Poincaré–Hopf_theorem
|
| gptkbp:bfsLayer |
6
|