English

Spin-structures on real Bott manifolds with K\"{a}hler structure

Differential Geometry 2022-09-05 v2

Abstract

Let MM be a real Bott manifold with K\"{a}hler structure. Using Ishida characterization \cite{I11} we give necessary and sufficient condition for the existence of the spin-structure on MM. In proof we use the technic developed in \cite{PS16} and characteristic classes.

Cite

@article{arxiv.2207.04879,
  title  = {Spin-structures on real Bott manifolds with K\"{a}hler structure},
  author = {Anna Gąsior and Rafał Lutowski},
  journal= {arXiv preprint arXiv:2207.04879},
  year   = {2022}
}

Comments

6 pages

R2 v1 2026-06-25T00:48:48.868Z