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arXiv · 1007.2569

Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators

E. Calvino-Louzao·E. Garcia-Rio·P. Gilkey·R. Vazquez-Lorenzo
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Abstract

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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E. Calvino-Louzao, E. Garcia-Rio, P. Gilkey, R. Vazquez-Lorenzo. 2010-07-15. Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators. https://arxiv.org/abs/1007.2569

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