Almost quaternion structures of the second kind and almost tangent structures

K. Yano, Mitsue Ako
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引用次数: 14

Abstract

is called an almost quaternion structure and a differentiate manifold with an almost quaternion structure an almost quaternion manifold. If there exists, in an almost quaternion manifold, a system of coordinate neighborhoods with respect to which components of F, G and H are all constant, then the almost quaternion structure is said to be integrable and the almost quaternion manifold is called a quaternion manifold. In a previous paper [8], the present authors studied integrability conditions for almost quaternion structures. A set of three tensor fields F, G and PI of type (1, 1) in a differentiate manifold which satisfy
第二类几乎四元数结构和几乎切线结构
称为近似四元数结构,具有近似四元数结构的微分流形称为近似四元数流形。如果在一个几乎四元数流形中存在一个坐标邻域系统,其F、G、H的分量均为常数,则称这个几乎四元数结构是可积的,称这个几乎四元数流形为四元数流形。在先前的论文[8]中,作者研究了几乎四元数结构的可积性条件。微分流形中(1,1)型的三个张量场F, G和PI的集合,满足
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