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Einstein metrics, complex surfaces, and symplectic 4-manifolds

Published online by Cambridge University Press:  01 July 2009

CLAUDE LeBRUN
CLAUDE LeBRUN*
Affiliation:
Department of Mathematics, SUNY, Stony Brook, NY 11794-3651, U.S.A. e-mail: [email protected]
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Abstract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 147 , Issue 1 , July 2009 , pp. 1 - 8
Copyright
Copyright © Cambridge Philosophical Society 2009

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