Almost contact structures and curvature tensors
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概要
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We determine an orthogonal decomposition of the vector space of some curvature tensors on a co-Hermitian real vector space, in irreducible components with respect to the natural induced representation of \mathcal{U}(<I>n</I>)×1. One of the components is used to introduce a Bochner curvature tensor on a class of almost co-Hermitian manifolds (or almost contact metric manifolds), called <I>C</I>(α)-manifolds, containing e.g. co-Kählerian, Sasakian and Kenmotsu manifolds. Other applications of the decomposition are given.
- 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文
国立大学法人 東京工業大学大学院理工学研究科数学専攻 | 論文
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