English

A positively curved manifold homeomorphic to T$_1$S$^4$

Differential Geometry 2011-03-22 v4

Abstract

We construct a new 7-dimensional manifold with positive sectional curvature which is 2-connected with \pi_3=\Z_2 and admits an isometric group action with one dimensional quotient.

Keywords

Cite

@article{arxiv.0809.2304,
  title  = {A positively curved manifold homeomorphic to T$_1$S$^4$},
  author = {Karsten Grove and Luigi Verdiani and Wolfgang Ziller},
  journal= {arXiv preprint arXiv:0809.2304},
  year   = {2011}
}

Comments

A few minor changes. To appear in GAFA