A characterization of quaternionic projective space by the conformal-Killing equation
classification
🧮 math.DG
keywords
conformal-killinghlerprojectivequaternionicquaternionic-kspaceadmittingcharacterization
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We prove that a compact quaternionic-K\"{a}hler manifold of dimension $4n\geq 8$ admitting a conformal-Killing 2-form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic-K\"{a}hler structure.
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