Some new examples with almost positive curvature

Kerin, Martin

doi:10.2140/gt.2011.15.217

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Some new examples with almost positive curvature

Martin Kerin

Geometry & Topology 15 (2011) 217–260

DOI: 10.2140/gt.2011.15.217

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 $S^{7} \times S^{7}$ which admit metrics with this property.

Keywords

biquotient, positive curvature, Pontrjagin class

Mathematical Subject Classification 2000

Primary: 53C20

Secondary: 57S25, 57T15

References

Publication

Received: 13 February 2009

Revised: 3 August 2010

Accepted: 15 November 2010

Published: 14 February 2011

Proposed: Dmitri Burago

Seconded: Tobias H Colding, Steven Ferry

Authors

Martin Kerin
Mathematisches Institut Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 D-48149 Münster Germany

Volume 15, issue 1 (2011)