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arXiv:0803.3743 [math.DG]AbstractReferencesReviewsResources

Einstein Metrics, Complex Surfaces, and Symplectic 4-Manifolds

Claude LeBrun

Published 2008-03-26, updated 2008-09-13Version 2

Which smooth compact 4-manifolds admit an Einstein metric with non-negative Einstein constant? A complete answer is provided in the special case of 4-manifolds that also happen to admit either a complex structure or a symplectic structure.

Comments: 12 pages, LaTeX2e. Final version, to appear in Math. Proc. Camb. Phil. Soc. (Preliminary version appeared in informal lecture-note volume in honor of Fujiki's 60th birthday.)
Categories: math.DG, math.AG
Subjects: 53C25, 57R57
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