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Geometric Realizations of para-Hermitian curvature models

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 نشر من قبل Peter B. Gilkey
 تاريخ النشر 2009
  مجال البحث
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We show that a para-Hermitian algebraic curvature model satisfies the para-Gray identity if and only if it is geometrically realizable by a para-Hermitian manifold. This requires extending the Tricerri-Vanhecke curvature decomposition to the para-Hermitian setting. Additionally, the geometric realization can be chosen to have constant scalar curvature and constant *-scalar curvature.



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