Spin structures on almost-flat manifolds
classification
🧮 math.GT
keywords
manifoldsspinadmitalmost-flatconditioncyclicholonomystructure
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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.
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