Some examples of almost Hermitian manifolds
نویسندگان
چکیده
منابع مشابه
almost-quaternionic Hermitian manifolds
In this note we prove that if the fundamental 4-form of an almost-quaternionic Hermitian manifold (M,Q, g) of dimension 4n ≥ 8 satisfies the conformal-Killing equation, then (M,Q, g) is quaternionic-Kähler.
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We study the decomposition of the Riemannian curvature R tensor of an almost quaternion-Hermitian manifold under the action of its structure group Sp(n)Sp(1). Using the minimal connection, we show that most components are determined by the intrinsic torsion ξ and its covariant derivative ∇̃ξ and determine relations between the decompositions of ξ ⊗ ξ, ∇̃ξ and R. We pay particular attention to the...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1966
ISSN: 0019-2082
DOI: 10.1215/ijm/1256055115