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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 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

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

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References (12)

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

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Nov 1, 2002

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