Einstein Hermitian metrics of positive sectional curvature
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Abstract:
It is shown that, up to scaling and isometry, the only complete 4-manifold with an Einstein metric of positive sectional curvature which is also Hermitian with respect to some complex structure is the complex projective plane $\mathbb {CP}_2$, equipped with its Fubini-Study metric.References
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Additional Information
- Caner Koca
- Affiliation: Department of Mathematics, Stony Brook University, Stony Brook, New York 11794
- Address at time of publication: Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, Tennessee 37240
- Email: caner@math.sunysb.edu, caner.koca@vanderbilt.edu
- Received by editor(s): June 29, 2012
- Published electronically: March 11, 2014
- Communicated by: Lei Ni
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 2119-2122
- MSC (2010): Primary 53C25, 53C55
- DOI: https://doi.org/10.1090/S0002-9939-2014-11929-0
- MathSciNet review: 3182029