Calabi's conjecture and some new results in algebraic geometry.
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Summary
A proof of Calabi's conjectures on the Ricci curvature of a compact Kähler manifold is announced and some new results in algebraic geometry and differential geometry are proved, including that the only Köhler structure on a complex projective space is the standard one.
- Type
- article
- Published
- 1977-05-01
- Cited by
- 899
- References
- 9
- Access
- Open access
- OpenAlex
- https://openalex.org/W2074934256
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:9401039
Keywords
Differential geometry, Mathematics, Algebraic geometry, Manifold (fluid mechanics), Conjecture
References
Cited by
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- The bulk from the boundary : holography and AdS/CFT
- The Chern Classes and Kodaira Dimension of a Minimal Variety
- SPIN GEOMETRY AND SEIBERG-WITTEN INVARIANTS
- Stringhe, brane e campi magnetici interni
- WHEN DOES A BOUNDED DOMAIN COVER A PROJECTIVE MANIFOLD? (SURVEY)
- Codimension 2 and 3 pluricanonical embeddings in projective spaces
- An integral inequality for constant scalar curvature metrics on Kähler manifolds
- Positivity and vanishing theorems in complex and algebraic geometry
- 超幾何微分方程式, P2(C)の直線の配置と一般型代数曲面
- Shing-Tung Yau氏の業績
- Complex and almost-complex structures on six dimensional manifolds
- The hypermultiplet moduli space of compactified type IIA string theory.
- On the geometry of calibrated manifolds : with applications to electrodynamics
- Heterotic string models on smooth Calabi-Yau threefolds
- Holonomy of Cartan collections
- Gauge theory on G2–manifolds
- Surfaces with p_g = 0: Constructions and Moduli spaces, Burniat surfaces and deformations of automorphisms
- On 3-dimensional Noether's inequality
- Mixed quasi-étale surfaces and new surfaces of general type
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