Spin structures on almost-flat manifolds
arXiv:1312.1808 · doi:10.2140/agt.2016.16.783
Abstract
We give a necessary and suffcient condition for almost-flat manifolds with cyclic holonomy to admit a Spin structure. Using this condition we find all 4-dimensional orientable almost- flat manifolds with cyclic holonomy that do not admit a Spin structure.