English

Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature

Differential Geometry 2020-02-17 v3

Abstract

We exhibit the first examples of closed 4-manifolds with nonnegative sectional curvature that lose this property when evolved via Ricci flow.

Keywords

Cite

@article{arxiv.1606.00778,
  title  = {Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature},
  author = {Renato G. Bettiol and Anusha M. Krishnan},
  journal= {arXiv preprint arXiv:1606.00778},
  year   = {2020}
}

Comments

LaTeX2e, 11 pages, 2 figures, final version. To appear in Comm. Anal. Geom