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The classification of simple Jacobi--Ricci commuting algebraic curvature tensors

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 نشر من قبل Peter B. Gilkey
 تاريخ النشر 2007
  مجال البحث
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We classify algebraic curvature tensors such that the Ricci operator is simple (i.e. the Ricci operator is complex diagonalizable and either the complex spectrum consists of a single real eigenvalue or the complex spectrum consists of a pair of eigenvalues which are complex conjugates of each other) and which are Jacobi--Ricci commuting (i.e. the Ricci operator commutes with the Jacobi operator of any vector).



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