Gasior, A.

Szczepański, A.

We consider relations between two families of flat manifolds with holonomy group Z^_ 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^ 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

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FLAT MANIFOLDS WITH HOLONOMY GROUP ℤ^k_2 OF DIAGONAL TYPE

http://ir.library.osaka-u.ac.jp/dspace/bitstream/11094/50971/1/ojm51_04_1015.pdf

FLAT MANIFOLDS WITH HOLONOMY GROUP ℤ^k_2 OF DIAGONAL TYPE

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