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Compact Osserman Manifolds with Neutral Metric

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Abstract

It is shown that if a compact four-dimensional manifold with metric of neutral signature is Jordan–Osserman, then it is either of constant sectional curvature or Ricci flat.

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Authors and Affiliations

  1. E. U. Politécnica, Mathematics Department, University of A Coruña, A Coruña, Spain

    M. Brozos-Vázquez

  2. Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

    E. García-Río & R. Vázquez-Lorenzo

  3. Mathematics Department, University of Oregon, Eugene, OR, 97403, USA

    P. Gilkey

Authors
  1. M. Brozos-Vázquez
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  2. E. García-Río
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  3. P. Gilkey
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  4. R. Vázquez-Lorenzo
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Correspondence to E. García-Río.

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Dedicated to Prof. Heinrich Wefelscheid

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Brozos-Vázquez, M., García-Río, E., Gilkey, P. et al. Compact Osserman Manifolds with Neutral Metric. Results. Math. 59, 495–506 (2011). https://doi.org/10.1007/s00025-011-0116-y

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  • DOI: https://doi.org/10.1007/s00025-011-0116-y

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