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Abstract The authors 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. They also show that a Szabó Lorentzian covariant derivative algebraic curvature tensor vanishes. 2000 Mathematics Subject Classification 53B20. © London Mathematical Society
Bulletin of the London Mathematical Society – Oxford University Press
Published: Nov 1, 2002
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