Spin-structures on real Bott manifolds with Kähler structure

2022/07/11 by Gąsior, Anna, Lutowski, Rafał
#20H15 #53B35 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C27 #Secondary 53C29

paper · doi:10.48550/arxiv.2207.04879

Abstract

Let M be a real Bott manifold with Kähler structure. Using Ishida characterization \citeI11 we give necessary and sufficient condition for the existence of the spin-structure on M. In proof we use the technic developed in \citePS16 and characteristic classes.

Related

• Spin-structures on real Bott manifolds with Kähler structures
• Spinc structures on real Bott manifolds
• Spin Structures on Generalized Real Bott Manifolds
• Spin structures on flat manifolds
• Note about Stiefel-Whitney classes on real Bott manifolds