Characterizations of the complex projective plane by curvature
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- by Robert E. Greene and Harsh Pittie PDF
- Proc. Amer. Math. Soc. 49 (1975), 131-134 Request permission
Abstract:
We give short proofs to show that under various positivity assumptions on the curvature of a Kähler surface $X$, it is biholomorphically equivalent to ${P_2}(C)$. In particular, the case of $\delta$-holomorphic pinching $> 1/2$ (Theorem 1) is best possible and, we believe, new.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 49 (1975), 131-134
- MSC: Primary 32C10; Secondary 53C55
- DOI: https://doi.org/10.1090/S0002-9939-1975-0387650-1
- MathSciNet review: 0387650