23 citations · 73 across the 6 of their papers we have counts for
6 papers
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…
On compact manifolds admitting indefinite metrics with parallel Weyl tensor
Andrzej Derdzinski, Witold Roter
Compact pseudo-Riemannian manifolds that have parallel Weyl tensor without being conformally flat or locally symmetric are known to exist in infinitely many dimensions greater than…
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.
Compact pseudo-Riemannian manifolds with parallel Weyl tensor
Andrzej Derdzinski, Witold Roter
It is shown that in every dimension n=3j+2, j=1,2,3,..., there exist compact pseudo-Riemannian manifolds with parallel Weyl tensor, which are Ricci-recurrent, but neither conformal…
Projectively flat surfaces, null parallel distributions, and conformally symmetric manifolds
Andrzej Derdzinski, Witold Roter
We determine the local structure of all pseudo-Riemannian manifolds in dimensions whose Weyl conformal tensor is parallel and has rank 1 when treated as an oper…
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…