English

Classification of Almost Quarter-Pinched Manifolds

Differential Geometry 2008-07-14 v1

Abstract

We show that if a simply connected manifold is almost quarter pinched then it is diffeomorphic to a CROSS (a compact rank one symmetric space) or a sphere.

Keywords

Cite

@article{arxiv.0807.1900,
  title  = {Classification of Almost Quarter-Pinched Manifolds},
  author = {Peter Petersen and Terence Tao},
  journal= {arXiv preprint arXiv:0807.1900},
  year   = {2008}
}

Comments

3 pages, no figures

R2 v1 2026-06-21T10:59:45.617Z