111 citations
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Showing math.DGShow all
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math.DG2007★ 5 cited
Global properties of indefinite metrics with parallel Weyl tensor
Andrzej Derdzinski, Witold Roter
This is an exposition of some recent results on ECS manifolds, by which we mean pseudo-Riemannian manifolds of dimensions greater than 3 that are neither conformally flat nor local…
math.DG2007★ 5 cited
The local structure of conformally symmetric manifolds
Andrzej Derdzinski, Witold Roter
This is a final step in a local classification of pseudo-Riemannian manifolds with parallel Weyl tensor that are not conformally flat or locally symmetric.
math.DG2006★ 12 cited
Walker's theorem without coordinates
Andrzej Derdzinski, Witold Roter
We provide a coordinate-free version of the local classification, due to A. G. Walker [Quart. J. Math. Oxford (2) 1, 69 (1950)], of null parallel distributions on pseudo-Riemannian…