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- W2007135083 abstract "Abstract In this paper we obtain obstructions to the existence of Einstein metrics satisfying auxiliary sectional curvature bounds. In particular, we give sufficient conditions for a compact-oriented Einstein four-manifold M to be isometric to either the sphere S 4 or the complex projective space CP 2 . Also, we improve the Hitchin–Thorpe’s inequality which relates the Euler characteristic of M and its signature." @default.
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- W2007135083 date "2004-06-01" @default.
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- W2007135083 title "On Einstein four-manifolds" @default.
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- W2007135083 doi "https://doi.org/10.1016/j.geomphys.2003.10.013" @default.
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