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arxiv: 1808.08030 · v1 · pith:KPPAXAWNnew · submitted 2018-08-24 · 🧮 math.GT

Note about Stiefel-Whitney classes on real Bott manifolds

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keywords manifoldsbottrealclassescomputediagonalflatgroup
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Real Bott manifolds is a class of flat manifolds with holonomy group $\mathbb Z_2^k$ of diagonal type. In this paper we want to show how we can compute even Stiefel - Whitney classes on real Bott manifolds. This paper is an answer to the question of professor Masuda if is it possible to extend A. G\k{a}sior "Spin-structures on real Bott manifolds" (J. Korean Math. Soc. {\bf 54}, (2017), no. 2, 507 - 516) and compute any Stiefel-Whitney classes for real Bott manifolds. It also extends results of A. G\k{a}sior, A. Szczepa\'nski "Flat manifolds with holonomy group $Z_2^k$ of diagonal type" (Osaka J. Math. {\bf 51} (2014), 1015 - 1025).

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