Calabi's conjecture and some new results in algebraic geometry.

@article{Yau1977CalabisCA,
  title={Calabi's conjecture and some new results in algebraic geometry.},
  author={Shing-Tung Yau},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={1977},
  volume={74 5},
  pages={
          1798-9
        }
}
  • S. Yau
  • Published 1 May 1977
  • Mathematics
  • Proceedings of the National Academy of Sciences of the United States of America
We announce a proof of Calabi's conjectures on the Ricci curvature of a compact Kähler manifold and then apply it to prove some new results in algebraic geometry and differential geometry. For example, we prove that the only Kähler structure on a complex projective space is the standard one. 
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755 Citations
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755 Citations

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