Abstract
We prove that for a fibration of simply-connected spaces of finite type F↪E→B with F being positively elliptic and H∗(F,Q) not possessing non-trivial derivations of negative degree, the base B is formal if and only if the total space E is formal. Moreover, in this case the fibration map is a formal map. As a geometric application we show that positive quaternion Kähler manifolds are formal and so are their associated twistor fibration maps.
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