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Zbl 1210.53050
Anderson, Michael T.
A survey of Einstein metrics on 4-manifolds. (English)
[A] Ji, Lizhen (ed.) et al., Handbook of geometric analysis. No. 3. Somerville, MA: International Press; Beijing: Higher Education Press. Advanced Lectures in Mathematics (ALM) 14, 1-39 (2010). ISBN 978-1-57146-205-3/hbk

This is a survey on Einstein metrics on 4-manifolds, especially recent existence and uniqueness results are described. Moreover open problems and conjectures are mentioned.
[Niels Jacob (Swansea)]
MSC 2000:
*53C25 Special Riemannian manifolds
53C21 Methods of Riemannian geometry (global)
58J60 Relations with special manifold structures
58J05 Elliptic equations on manifolds, general theory

Keywords: Einstein metric; 4-manifolds; moduli spaces

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