On the curvature of biquotients

Kerin, Martin

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 S 3 × S 3.

Citation

Kerin, M. (2012). On the curvature of biquotients. Mathematische Annalen, 352(1), 155-178. https://doi.org/10.1007/s00208-011-0634-7

• Journal Article Type: Article
• Online Publication Date: Jan 22, 2011
• Publication Date: 2012-01
• Deposit Date: Nov 15, 2022
• Publicly Available Date: Nov 15, 2022
• Journal: Mathematische Annalen
• Print ISSN: 0025-5831
• Electronic ISSN: 1432-1807
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 352
• Issue: 1
• Pages: 155-178
• DOI: https://doi.org/10.1007/s00208-011-0634-7
• Public URL: https://durham-repository.worktribe.com/output/1188955