Abstract
Which 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 do not admit any Einstein metric.
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© 1987 Springer-Verlag Berlin Heidelberg
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Besse, A.L. (1987). Einstein Manifolds and Topology. In: Einstein Manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74311-8_7
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DOI: https://doi.org/10.1007/978-3-540-74311-8_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74120-6
Online ISBN: 978-3-540-74311-8
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