Yau's proof of the Calabi conjecture
GPTKB entity
Statements (42)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:contributes_to |
the theory of complex manifolds
|
| gptkbp:has_expansion |
other types of manifolds
|
| gptkbp:has_implications_for |
gptkb:string_theory
|
| gptkbp:has_inspired |
further studies in geometry
|
| gptkbp:historical_achievement |
mathematical analysis
the history of mathematics |
| https://www.w3.org/2000/01/rdf-schema#label |
Yau's proof of the Calabi conjecture
|
| gptkbp:involves |
gptkb:Mathematics
|
| gptkbp:is_a_critical_development_in |
the study of Kähler manifolds
|
| gptkbp:is_a_foundation_for |
modern geometry
|
| gptkbp:is_a_foundational_result_for |
the study of Kähler geometry
|
| gptkbp:is_a_landmark_achievement_in |
the field of mathematics
|
| gptkbp:is_a_reference_for |
future mathematical proofs
|
| gptkbp:is_a_subject_of |
graduate-level courses
numerous academic discussions |
| gptkbp:is_associated_with |
gptkb:Shing-Tung_Yau
|
| gptkbp:is_based_on |
the existence of solutions to certain equations
|
| gptkbp:is_cited_in |
research papers
|
| gptkbp:is_critical_for |
research in geometry
|
| gptkbp:is_debated_in |
gptkb:Calabi_conjecture
|
| gptkbp:is_discussed_in |
mathematical conferences
|
| gptkbp:is_influential_in |
mathematical physics
|
| gptkbp:is_often_referenced_in |
academic textbooks
|
| gptkbp:is_recognized_by |
mathematical literature
the mathematical community |
| gptkbp:is_significant_for |
the study of differential geometry
|
| gptkbp:key |
geometric analysis
the study of geometric structures |
| gptkbp:key_feature |
the interplay between geometry and analysis
|
| gptkbp:led_to |
gptkb:Yau's_Fields_Medal
|
| gptkbp:notable_achievement |
the field of mathematics.
|
| gptkbp:notable_contributor |
the field of complex geometry
|
| gptkbp:notable_examples |
the application of differential equations in geometry
|
| gptkbp:often_includes |
mathematical curricula
|
| gptkbp:performance |
subsequent research
|
| gptkbp:published_by |
gptkb:1978
|
| gptkbp:technique |
complex geometry
|
| gptkbp:was_a_result_of |
Yau's work on Kähler manifolds
decades of mathematical development |
| gptkbp:bfsParent |
gptkb:Yau
|
| gptkbp:bfsLayer |
7
|