Tangent bundles of Hantzsche-Wendt manifolds
  We formulate a condition for an existence of a $Spin^C$ - structure on an oriented at manifold $M^n$ with $H^2(Mn;R) = 0$. As an application we shall prove that all cyclic Hantzsche - Wendt manifolds have not the $Spin^C$-structure. 
Anna G\k{a}sior, Andrzej Szczepa\'nski
math.AT