English

An exotic sphere with positive sectional curvature

Differential Geometry 2008-10-23 v3

Abstract

We show that there is a metric on the Gromoll-Meyer sphere with positive sectional curvature.

Cite

@article{arxiv.0805.0812,
  title  = {An exotic sphere with positive sectional curvature},
  author = {Peter Petersen and Frederick Wilhelm},
  journal= {arXiv preprint arXiv:0805.0812},
  year   = {2008}
}

Comments

A referee discovered an error in the statement of Theorem 5.3. This error is corrected and the result is renamed, Lemma 5.3. A coarse outline has been added at the end of the introduction. 95 pages

R2 v1 2026-06-21T10:37:56.553Z