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...

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Chi tiết về thư mục
Những tác giả chính: Kozameh, C, Newman, E, Tod, K
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: Kluwer Academic Publishers-Plenum Publishers 1985
Miêu tả
Tóm tắt: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.