Iterated circle bundles and infranilmanifolds

Igor Belegradek

doi:ojm/1579079117

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Home > Journals > Osaka J. Math. > Volume 57 > Issue 1 > Article

January 2020 Iterated circle bundles and infranilmanifolds

Igor Belegradek

Osaka J. Math. 57(1): 165-168 (January 2020).

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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.