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Geometric realizations of generalized algebraic curvature operators

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 نشر من قبل Peter B. Gilkey
 تاريخ النشر 2008
  مجال البحث
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We study the 8 natural GL equivariant geometric realization questions for the space of generalized algebraic curvature tensors. All but one of them is solvable; a non-zero projectively flat Ricci antisymmetric generalized algebraic curvature is not geometrically realizable by a projectively flat Ricci antisymmetric torsion free connection.

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