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January 2020 Iterated circle bundles and infranilmanifolds
Igor Belegradek
Osaka J. Math. 57(1): 165-168 (January 2020).

Abstract

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.

Citation

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Igor Belegradek. "Iterated circle bundles and infranilmanifolds." Osaka J. Math. 57 (1) 165 - 168, January 2020.

Information

Published: January 2020
First available in Project Euclid: 15 January 2020

zbMATH: 07196621
MathSciNet: MR4052634

Subjects:
Primary: 20F18
Secondary: 57R22

Rights: Copyright © 2020 Osaka University and Osaka City University, Departments of Mathematics

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Vol.57 • No. 1 • January 2020
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