30 citations · 299 across the 38 of their papers we have counts for
38 papers
Special Ricci-Hessian equations on Kähler manifolds
Andrzej Derdzinski, Paolo Piccione
Special Ricci-Hessian equations on Kähler manifolds , as defined by Maschler [Ann. Global Anal. Geom. 34 (2008), 367--380] involve functions on and state that, for s…
Compact Weyl-parallel manifolds
Andrzej Derdzinski
By ECS manifolds one means pseudo-Riemannian manifolds of dimensions which have parallel Weyl tensor, but not for one of the two obvious reasons: conformal flatness or…
Compact locally homogeneous manifolds with parallel Weyl tensor
Andrzej Derdzinski, Ivo Terek
We construct new examples of compact ECS manifolds, that is, of pseudo-Riemannian manifolds with parallel Weyl tensor that are neither conformally flat nor locally symmetric. Every…
The metric structure of compact rank-one ECS manifolds
Andrzej Derdzinski, Ivo Terek
Pseudo-Riemannian manifolds with nonzero parallel Weyl tensor which are not locally symmetric are known as ECS manifolds. Every ECS manifold carries a distinguished null parallel d…
Rank-one ECS manifolds of dilational type
Andrzej Derdzinski, Ivo Terek
We study ECS manifolds, that is, pseudo-Riemannian manifolds with parallel Weyl tensor which are neither conformally flat nor locally symmetric. Every ECS manifold has rank 1 or 2,…
Null-projectability of Levi-Civita connections
Andrzej Derdzinski, Kirollos Masood
We study the natural property of projectability of a torsion-free connection along a foliation on the underlying manifold, which leads to a projected torsion-free connection on a l…