The fundamental form of almost-quaternionic Hermitian manifolds
Differential Geometry
2015-05-13 v3
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.
Keywords
Cite
@article{arxiv.0904.4930,
title = {The fundamental form of almost-quaternionic Hermitian manifolds},
author = {Liana David},
journal= {arXiv preprint arXiv:0904.4930},
year = {2015}
}
Comments
small modifications in the introduction; simplifications in the proof of the main result