Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Characterizations of the complex projective plane by curvature

Authors: Robert E. Greene and Harsh Pittie
Journal: Proc. Amer. Math. Soc. 49 (1975), 131-134
MSC: Primary 32C10; Secondary 53C55
MathSciNet review: 0387650
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 32C10, 53C55

Retrieve articles in all journals with MSC: 32C10, 53C55

Additional Information

PII: S 0002-9939(1975)0387650-1
Keywords: Kähler manifold, curvature, pinching, Chern class, Pontrjagin class, Riemann-Roch, Kodaira vanishing theorem
Article copyright: © Copyright 1975 American Mathematical Society