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Killing Forms on Quaternion-Kähler Manifolds

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Abstract

We show that every Killing p-form on a compact quaternion manifold has to be parallel for p≥ 2.

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References

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Authors and Affiliations

  1. CMAT, École Polytechnique, UMR, 7640 du CNRS, L91128, Palaiseau, France

    Andrei Moroianu

  2. Fachbereich Mathematik, Universität Hamburg, Bundesstr. 55, D-20146, Hamburg, Germany

    Uwe Semmelmann

Authors
  1. Andrei Moroianu
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  2. Uwe Semmelmann
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Corresponding author

Correspondence to Andrei Moroianu.

Additional information

Mathematics Subject Classifications (2000): Primary 53C55, 58J50.

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Moroianu, A., Semmelmann, U. Killing Forms on Quaternion-Kähler Manifolds. Ann Glob Anal Geom 28, 319–335 (2005). https://doi.org/10.1007/s10455-005-1147-y

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  • DOI: https://doi.org/10.1007/s10455-005-1147-y

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