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

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

2002-05-07

arxiv.org/abs/math/0205074v1

Mathematics

Differential Geometry

Scientific paper

We 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 Szab\'o Lorentzian covariant derivative algebraic curvature tensor
vanishes.

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