Yau's proof of the Calabi conjecture
GPTKB entity
Statements (42)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:bfsLayer |
6
|
| gptkbp:bfsParent |
gptkb:Yau
|
| gptkbp:based_on |
the existence of solutions to certain equations
|
| gptkbp:contributed_to |
the theory of complex manifolds
|
| gptkbp:has_expansion |
other types of manifolds
|
| gptkbp:has_impact_on |
gptkb:musician
|
| gptkbp:has_influence_on |
further studies in geometry
|
| gptkbp:historical_debate |
gptkb:Calabi_conjecture
|
| https://www.w3.org/2000/01/rdf-schema#label |
Yau's proof of the Calabi conjecture
|
| gptkbp:involves |
gptkb:product
|
| gptkbp:is_a_framework_for |
modern geometry
the study of Kähler geometry |
| gptkbp:is_associated_with |
gptkb:Shing-Tung_Yau
|
| gptkbp:is_cited_in |
research papers
|
| gptkbp:is_critical_for |
research in geometry
the study of Kähler manifolds |
| gptkbp:is_discussed_in |
mathematical conferences
|
| gptkbp:is_influential_in |
mathematical physics
|
| gptkbp:is_often_associated_with |
academic textbooks
mathematical curricula |
| gptkbp:is_recognized_by |
mathematical literature
the mathematical community |
| gptkbp:is_referenced_in |
future mathematical proofs
|
| gptkbp:key |
geometric analysis
the study of geometric structures the interplay between geometry and analysis |
| gptkbp:landmark |
the field of mathematics
|
| gptkbp:led_to |
gptkb:Yau's_Fields_Medal
|
| gptkbp:notable_achievement |
mathematical analysis
the history of mathematics the field of mathematics. |
| gptkbp:notable_event |
the application of differential equations in geometry
|
| gptkbp:notable_recipients |
the field of complex geometry
|
| gptkbp:performance |
subsequent research
|
| gptkbp:published_by |
gptkb:1978
|
| gptkbp:resulted_in |
Yau's work on Kähler manifolds
decades of mathematical development |
| gptkbp:significance |
the study of differential geometry
|
| gptkbp:subject |
graduate-level courses
numerous academic discussions |
| gptkbp:technique |
complex geometry
|