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Annals of Global Analysis and Geometry

, Volume 28, Issue 4, pp 319–335 | Cite as

Killing Forms on Quaternion-Kähler Manifolds

  • Andrei Moroianu
  • Uwe Semmelmann
Article

Abstract

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

Keywords

Killing forms quaternion manifolds 

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References

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    Bonan, E.: Sur l'algèbre extérieure d'une variété presque hermitienne quaternionique, C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), 115–118.zbMATHMathSciNetGoogle Scholar
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    Moroianu, A. and Semmelmann, U.: Twistor forms on Kähler manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) II (2003), 823–845.MathSciNetGoogle Scholar
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    Semmelmann, U.: Conformal Killing forms on Riemannian manifolds, Math. Z. 245 (2003), 503–527.CrossRefzbMATHMathSciNetGoogle Scholar
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    Semmelmann, U. and Weingart, G.: Vanishing theorems for quaternionic Kähler manifolds, J. Reine Angew. Math. 544 (2002), 111–132.MathSciNetGoogle Scholar
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    Weingart, G.: Differential forms on quaternion Kähler manifolds, preprint (2003).Google Scholar

Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.CMATÉcole Polytechnique, UMRPalaiseauFrance
  2. 2.Fachbereich MathematikUniversität HamburgHamburgGermany

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