FLAT MANIFOLDS WITH HOLONOMY GROUP ℤ 2?? OF DIAGONAL TYPE
FLAT MANIFOLDS WITH HOLONOMY GROUP ℤ 2?? OF DIAGONAL TYPE
复制标题
带 HOLONOMY GROUP ℤ 2?? 对角线型扁平歧管
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
A. S. ´NSKI
中科院分区：
文献类型：
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作者：
A.;A. S. ´NSKI
研究了具有对角型完整群Zk 2的两类RBM流形：真实的Bott流形族RBM和广义Hantzsche-Wendt流形族GHW之间的关系.特别地，我们证明了交集GHW \ RBM不是空的。此外，我们还考虑了一类没有Spin和Spin C结构的真实的Bott流形.存在这样的结构的给定条件（定理1）。作为应用，给出了所有无Spin结构的5维定向真实的Bott流形
We consider relations between two families of flat manifolds with holonomy group Z k 2 of diagonal type: the family RBM of real Bott manifolds and the family GHW of generalized Hantzsche–Wendt manifolds. In particular, we prove that the intersection GHW \ RBM is not empty. Moreover, we consider some class of real Bott manifolds without Spin and Spin C structure. There are given conditions (Theorem 1) for the existence of such structures. As an application a list of all 5-dimensional oriented real Bott manifolds without Spin structure is given