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Almost flat manifold

a smooth compact manifold such that, for any ε>0, there is a Riemannian metric g such that the diameter (measured using g) is at most one and such that the absolute value of sectional curvature is at most ε everywhere

Pronunciation
/ˈɔlˌmoʊst flæt ˈmænəˌfoʊld/
/ˈɔːlməʊst flat ˈmanɪfəʊld/
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