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arxiv: 1204.6677 · v3 · pith:KQFUIRZInew · submitted 2012-04-30 · 🧮 math.DG

Collapsing with a lower bound on the curvature operator

classification 🧮 math.DG
keywords boundcurvaturecollapsef-structuresloweroperatorcheegercheeger-gromov
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Cheeger and Gromov showed that F-structures are related to collapse with a double-sided curvature bound. We define fibered F-structures and extend some of the Cheeger-Gromov results to the setting of collapse with a lower bound on the curvature operator.

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