Curvature tensors whose Jacobi or Szabo operator is nilpotent on null vectors

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64005We show that any $k$ Osserman Lorentzian algebraic curvature tensor has constant sectional curvature and give an elementary proof that any local 2 point homogeneous Lorentzian manifold has constant sectional curvature. We also show that a Szabó Lorentzian covariant derivative algebraic curvature tensor vanishes.Differential Geometry53B20Curvature tensors whose Jacobi or Szabo operator is nilpotent on null vectorstext