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On Calabi-Yau supermanifolds

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 نشر من قبل Martin Rocek
 تاريخ النشر 2004
  مجال البحث
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We prove that a Kahler supermetric on a supermanifold with one complex fermionic dimension admits a super Ricci-flat supermetric if and only if the bosonic metric has vanishing scalar curvature. As a corollary, it follows that Yaus theorem does not hold for supermanifolds.



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