Killing forms on Quaternion-Kähler manifolds

Andrei Moroianu (1) , Uwe Semmelmann (2)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 Fachbereich Mathematik [Hamburg]

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

Mots clés: Killing forms; quaternion-Kähler manifolds

Domaines: Géométrie différentielle [math.DG]

Andrei Moroianu, Uwe Semmelmann. Killing forms on Quaternion-Kähler manifolds. Annals of Global Analysis and Geometry, 2005, 28, pp.319-335. ⟨10.1007/s10455-005-1147-y⟩. ⟨hal-00001296v3⟩