Cohomological rigidity of oriented Hantzsche-Wendt manidolds
Abstract
By Hantzsche-Wendt manifold (for short HW-manifold) we understand any oriented closed Riemannian manifold of dimension n with a holonomy group (Z2)n-1. Two HW-manifolds M1 and M2 are cohomological rigid if and only if a homeomorphism between M1 and M2 is equivalent to an isomorphism of graded rings H*(M1,F2) and H*(M2,F2). We prove that HW-manifolds are cohomological rigid.
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