Spin-structures on real Bott manifolds with K\"ahler structures
Differential Geometry
2017-03-27 v1
Abstract
Let M be a real Bott manifold with K\"{a}hler structure. Using Ishida characterization we give necessary and sufficient condition for the existence of the Spin-structure on M. In proof we use the technic developed in Popko, Szczepa\'{n}ski "Cohomological rigity of oriented Hantzsche-Wendt manifolds" (Adv. Math. 302 (2016), 1044 - 1068) and characteristic classes.
Keywords
Cite
@article{arxiv.1703.08302,
title = {Spin-structures on real Bott manifolds with K\"ahler structures},
author = {Anna Gąsior},
journal= {arXiv preprint arXiv:1703.08302},
year = {2017}
}