A characterization of quaternionic projective space by the conformal-Killing equation

preprint2008arXivOpen access

Abstract

We prove that a compact quaternionic-Kähler manifold of dimension 4n≥84n\geq 8 admitting a conformal-Killing 2-form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic-Kähler structure.

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