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Generalizations of the Einstein Condition

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Einstein Manifolds

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((CLASSICS))

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Abstract

In this chapter we discuss some generalizations of Einstein metrics, that is, a few classes of Riemannian manifolds characterized by tensorial conditions, which are consequences of the Einstein metric equation. Among such generalizations, we restrict our consideration to those which have been studied in the differential geometric literature and can be illustrated by interesting examples.

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© 1987 Springer-Verlag Berlin Heidelberg

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Besse, A.L. (1987). Generalizations of the Einstein Condition. In: Einstein Manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74311-8_17

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  • DOI: https://doi.org/10.1007/978-3-540-74311-8_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74120-6

  • Online ISBN: 978-3-540-74311-8

  • eBook Packages: Springer Book Archive

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