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