Quaternionic structures on a manifold and subordinated structures
Quaternionic structures on a manifold and subordinated structures
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流形上的四元结构和从属结构
DOI：
10.1007/bf01759388
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发表时间：
1996
影响因子：
1
通讯作者：
S. Marchiafava
中科院分区：
文献类型：
--
作者：
D. Alekseevsky;S. Marchiafava
我们研究了流形m4 ~上的（几乎）四元数结构Q和（几乎）超复结构H的微分几何，以及通过在Q或H上加入体积形式或相容（即埃尔米）度规g而得到的其他类四元数结构（Q, vol），（H, vol），（Q, g），（H, g）的微分几何。g结构理论提供了一种统一的方法。事实上，这些类四元数结构可以被识别为具有其中一个基团的g结构
We study differential geometry of an (almost) quaternionic structure Q and of an (almost) hypercomplex structure H on a manifold M 4~, as well as other quaternioniclike structures (Q, vol),(H, vol),(Q, g),(H, g) which are obtained by adding to Q or H a volume form or a compatible (ie Hermitian) metric g. A unified way to do this is provided by the theory of G-structures. In fact these quaternionic-like structures may be identified as G-structures with one of the groups