CONFORMAL EINSTEIN-SPACES
We study conformal transformations in four-dimensional manifolds. In particular, we present a new set of two necessary and sufficient conditions for a space to be conformal to an Einstein space. The first condition defines the class of spaces conformal to C spaces, whereas the last one (the vanishin...
| Hauptverfasser: | , , |
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| Format: | Journal article |
| Sprache: | English |
| Veröffentlicht: |
Kluwer Academic Publishers-Plenum Publishers
1985
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| Zusammenfassung: | We study conformal transformations in four-dimensional manifolds. In particular, we present a new set of two necessary and sufficient conditions for a space to be conformal to an Einstein space. The first condition defines the class of spaces conformal to C spaces, whereas the last one (the vanishing of the Bach tensor) gives the particular subclass of C spaces which are conformally related to Einstein spaces. © 1985 Plenum Publishing Corporation. |
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