The fundamental form of almost-quaternionic Hermitian manifolds

Abstract

We prove that if the fundamental 4-form of an almost-quaternionic Hermitian manifold (M, Q, g) of dimension at least eight satisfies the conformal-Killing equation, then (M, Q, g) is quaternionic-Kahler.

small modifications in the introduction; simplifications in the proof of the main result

References in corpus (2)

• Killing-Yano equations and G-structures
• A characterization of quaternionic projective space by the conformal-Killing equation

Cited by in corpus (1)

• The conformal-Killing equation on G2 and Spin7 structures