Calabi's conjecture and some new results in algebraic geometry
- 1 May 1977
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 74 (5) , 1798-1799
- https://doi.org/10.1073/pnas.74.5.1798
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- Über vierdimensionale EinsteinräumeCellular and Molecular Life Sciences, 1952