Shing-Tung Yau and sixty years of Calabi's conjecture (Q394184)
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scientific article; zbMATH DE number 6250363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shing-Tung Yau and sixty years of Calabi's conjecture |
scientific article; zbMATH DE number 6250363 |
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Shing-Tung Yau and sixty years of Calabi's conjecture (English)
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24 January 2014
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In this beautiful article, the author portrays the development of the Calabi conjecture (``For any \((1,1)\)-form \(R\) in the first Chern class of a compact Kähler manifold, there exists a unique Kähler metric whose Ricci form is equal to \(R\)'') from its birth during a talk at the ICM 1954 in Amsterdam to Shing-Tung Yau's proof in 1976, and also discusses subsequent research, e.g. on Calabi-Yau manifolds and the mirror conjecture.
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Calabi-Yau
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Chern class
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Kähler manifolds
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mirror conjecture
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