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The fundamental form of almost-quaternionic Hermitian manifolds
Authors:Liana David
Institution:Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Calea Grivitei nr 21, Sector 1, Bucharest, Romania
Abstract:We prove that if the fundamental 4-form ΩΩ of an almost-quaternionic Hermitian manifold (M,Q,g)(M,Q,g) of dimension 4n≥84n8 satisfies the conformal-Killing equation, then (M,Q,g)(M,Q,g) is quaternionic-Kähler.
Keywords:Real and complex differential geometry  Geometric theory of differential equations
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