English

Collapsing with a lower bound on the curvature operator

Differential Geometry 2014-02-11 v3

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.

Cite

@article{arxiv.1204.6677,
  title  = {Collapsing with a lower bound on the curvature operator},
  author = {John Lott},
  journal= {arXiv preprint arXiv:1204.6677},
  year   = {2014}
}

Comments

final version

R2 v1 2026-06-21T20:56:40.372Z