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arxiv: 1805.06585 · v1 · pith:YI77XLRHnew · submitted 2018-05-17 · 🧮 math.GT · math.DG· math.GR

Iterated circle bundles and infranilmanifolds

classification 🧮 math.GT math.DGmath.GR
keywords circleiteratedbundlesalmostbundlediffeomorphiceveryfacts
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We give short proofs of the following two facts: Iterated principal circle bundles are precisely the nilmanifolds. Every iterated circle bundle is almost flat, and hence diffeomorphic to an infranilmanifold.

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