Collapsing with a lower bound on the curvature operator

2012/04/30 by John Lott, Lott, John
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1204.6677

final version

arxiv created 2014/02/07 · arxiv updated 2014/02/11

Abstract

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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