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Some new examples with almost positive curvature

Kerin, Martin

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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.


Kerin, M. (2011). Some new examples with almost positive curvature. Geometry & Topology, 15(1), 217-260.

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


Published Journal Article (503 Kb)

Copyright Statement
Copyright © 2011 Mathematical Sciences Publishers

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