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Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators

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 نشر من قبل Peter B. Gilkey
 تاريخ النشر 2010
  مجال البحث
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We exhibit Osserman metrics with non-nilpotent Jacobi operators and with non-trivial Jordan normal form in neutral signature (n,n) for any n which is at least 3. These examples admit a natural almost para-Hermitian structure and are semi para-complex Osserman with non-trivial Jordan normal form as well; they neither satisfy the third Gray identity nor are they integrable.

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