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Curvature symmetries characterizing Einstein spaces

Volume 152 / 2018

Adela Mihai, Udo Simon Colloquium Mathematicum 152 (2018), 23-28 MSC: Primary 53C25; Secondary 53B20. DOI: 10.4064/cm7234-5-2017 Published online: 22 January 2018


Singer and Thorpe discovered a symmetry of sectional curvatures which characterizes 4-dimensional Einstein spaces. Later this result was generalized to Einstein spaces of even dimensions $n = 2k \ge 4.$ Our Main Theorem establishes curvature symmetries for Einstein spaces of arbitrary dimension $n \ge 4.$


  • Adela MihaiDepartment of Mathematics and Computer Science
    Technical University of Civil Engineering Bucharest
    Lacul Tei Bvd. 122-124
    020396 Bucureşti, Romania
  • Udo SimonMathematical Institute MA 8-3
    Technical University of Berlin
    Straße 17 Juni 136
    D-10623 Berlin, Germany

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