Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2017; 54(2): 507-516

Online first article December 7, 2016      Printed March 1, 2017

https://doi.org/10.4134/JKMS.j160084

Copyright © The Korean Mathematical Society.

Spin-structures on real Bott manifolds

Anna G\c{a}sior

Maria Curie-Sk{\l}odowska University

Abstract

Real Bott manifolds is a class of flat manifolds with holonomy group $\mathbb Z_2^k$of diagonal type. In this paper we formulate necessary and sufficient conditions of the existence of a Spin-structure on real Bott manifolds. It extends results of \cite{GS1}.

Keywords: real Bott manifolds, spin-structure

MSC numbers: Primary 53C27; Secondary 53C29, 57S25, 20H15

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