English

On the curvature of biquotients

Differential Geometry 2012-03-12 v4

Abstract

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of non-negatively curved manifolds which contain either a point or an open dense set of points at which all 2-planes have positive curvature. We study infinite families of biquotients defined by Eschenburg and Bazaikin from this viewpoint, together with torus quotients of S3\xS3S^3 \x S^3.

Keywords

Cite

@article{arxiv.0809.4771,
  title  = {On the curvature of biquotients},
  author = {Martin Kerin},
  journal= {arXiv preprint arXiv:0809.4771},
  year   = {2012}
}

Comments

V3 An error has been discovered in Section 3. This section has been removed and the Introduction modified accordingly; V4 published version