Spin${}^c$ structures on Hantzsche-Wendt manifolds

Abstract

Using a combinatorial description of Stiefel-Whitney classes of closed flat manifolds with diagonal holonomy representation, we show that no Hantzsche-Wendt manifold of dimension greater than three does not admit a spin${}^c$ structure.

References in corpus (2)

• Spin structures on flat manifolds
• Spin structures of flat manifolds of diagonal type

Cited by in corpus (1)

• Properties of the combinatorial Hantzsche-Wendt groups