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Geometric Realizations of Hermitian curvature models

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 نشر من قبل Peter B. Gilkey
 تاريخ النشر 2008
  مجال البحث
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We show that a Hermitian algebraic curvature model satisfies the Gray identity if and only if it is geometrically realizable by a Hermitian manifold. Furthermore, such a curvature model can in fact be realized by a Hermitian manifold of constant scalar curvature and constant *-scalar curvature which satisfies the Kaehler condition at the point in question.

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