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Classification and Characterization of rationally elliptic manifolds in low dimensions

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 نشر من قبل Martin Herrmann
 تاريخ النشر 2014
  مجال البحث
والبحث باللغة English
 تأليف Martin Herrmann




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We give a characterization of closed, simply connected, rationally elliptic 6-manifolds in terms of their rational cohomology rings and a partial classification of their real cohomology rings. We classify rational, real and complex homotopy types of closed, simply connected, rationally elliptic 7-manifolds. We give partial results in dimensions 8 and 9.

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