2 papers
math.DG2023
Lorentzian connections with parallel twistor-free torsion
Igor Ernst, Anton S. Galaev
We describe Lorentzian manifolds that admit metric connections with parallel torsion having zero twistorial component and non-zero vectorial component. We also describe Lorentzian…
math.DG2022
On Lorentzian connections with parallel skew torsion
Igor Ernst, Anton S. Galaev
The paper is devoted to metric connections with parallel skew-symmetric torsion in Lorentzian signature. This is motivated by recent progress in the Riemannian signature and by pos…