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Author Amann, Manuel ♦ Kapovitch, Vitali
Source CiteSeerX
Content type Text
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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Fibrations Formal Elliptic Fiber ♦ Associated Twistor Fibration Map ♦ Finite Type ♦ Fibration Map ♦ Simply-connected Space ♦ Positive Quaternion Hler Manifold ♦ Non-trivial Derivation ♦ Total Space ♦ Negative Degree ♦ Formal Map ♦ Geometric Application
Abstract 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.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article