A characterization of quaternionic projective space by the conformal-Killing equation
arXiv:0804.3889 · doi:10.1112/jlms/jdp023
Abstract
We prove that a compact quaternionic-Kähler manifold of dimension admitting a conformal-Killing 2-form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic-Kähler structure.
23 pages