Killing forms on Quaternion-K\"ahler manifolds

arxiv: math/0403242 · v3 · pith:SGEVTHKKnew · submitted 2004-03-15 · 🧮 math.DG

Andrei Moroianu (CMLS-EcolePolytechnique) , Uwe Semmelmann This is my paper

classification 🧮 math.DG

keywords ahlerkillingquaternion-kcompacteveryformsgreatermanifold

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We show that every Killing p-form on a compact quaternion-K\"ahler manifold has to be parallel for p greater than 1.

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