Some new examples with almost positive curvature

Kerin, Martin

doi:10.2140/gt.2011.15.217

Some new examples with almost positive curvature

Kerin, Martin

Authors

Dr Martin Kerin martin.p.kerin@durham.ac.uk
Assistant Professor

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
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