N. Petrosyan, A. Szczepański
Abstract
We give a necessary and sufficient 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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We give a necessary and sufficient 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.
Key concepts: Holonomy, Mathematics, Spin (aerodynamics), Spin structure, Pure mathematics, Hyperkähler manifold, Geometry, Manifold (fluid mechanics)