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arXiv · 1312.1808

Spin structures on almost-flat manifolds

Anna Gąsior·Nansen Petrosyan·Andrzej Szczepański
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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.

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Anna Gąsior, Nansen Petrosyan, Andrzej Szczepański. 2013-12-10. Spin structures on almost-flat manifolds. https://doi.org/10.2140/agt.2016.16.783

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