Some new examples with almost positive curvature

Kerin, Martin

Abstract

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of nonnegatively curved manifolds which contain points at which all 2 –planes have positive curvature. We show that there are generalisations of the well-known Eschenburg spaces and quotients of S 7 × S 7 which admit metrics with this property.

Citation

Kerin, M. (2011). Some new examples with almost positive curvature. Geometry & Topology, 15(1), 217-260. https://doi.org/10.2140/gt.2011.15.217

• Journal Article Type: Article
• Acceptance Date: Nov 15, 2010
• Online Publication Date: Feb 14, 2011
• Publication Date: 2011
• Deposit Date: Nov 15, 2022
• Publicly Available Date: Nov 15, 2022
• Journal: Geometry & Topology
• Print ISSN: 1465-3060
• Electronic ISSN: 1364-0380
• Publisher: Mathematical Sciences Publishers (MSP)
• Peer Reviewed: Peer Reviewed
• Volume: 15
• Issue: 1
• Pages: 217-260
• DOI: https://doi.org/10.2140/gt.2011.15.217
• Public URL: https://durham-repository.worktribe.com/output/1185540