The fundamental form of almost-quaternionic Hermitian manifolds

Details The fundamental form of almost-quaternionic Hermitian manifolds The fundamental form of almost-quaternionic Hermitian manifolds

2009-04-30

arxiv.org/abs/0904.4930v3

Mathematics

Differential Geometry

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

Scientific paper

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.

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