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Curvature Tensors Whose Jacobi or Szabó Operator is Nilpotent on Null Vectors

Curvature Tensors Whose Jacobi or Szabó Operator is Nilpotent on Null Vectors 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 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Oxford University Press

Curvature Tensors Whose Jacobi or Szabó Operator is Nilpotent on Null Vectors

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References (12)

Publisher
Oxford University Press
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609302001339
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Bulletin of the London Mathematical SocietyOxford University Press

Published: Nov 1, 2002

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