Titlebook: Einstein Manifolds; Arthur L. Besse Book 1987 Springer-Verlag Berlin Heidelberg 1987 Einstein.Manifolds.Riemannian geometry.Submersion.Top

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https://doi.org/10.1007/978-3-658-23226-9Which compact manifolds do admit an Einstein metric? Except in dimension 2 (see Section B of this chapter), a complete answer to this question seems out of reach today. At least, in dimensions 3 and 4, we can single out a few manifolds which definitely . admit any Einstein metric.

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https://doi.org/10.1007/978-3-662-34560-3Since the main emphasis of the boook is on compact spaces, this chapter on non-compact examples is only meant as a report.

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