An exotic sphere with positive sectional curvature

2008/05/06 by Peter Petersen, Petersen, Peter, Frederick Wilhelm +1 · 1 citation
Mathematics · #53Cxx #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53Cxx

paper · pdf · doi:10.48550/arxiv.0805.0812

A referee discovered an error in the statement of Theorem 5.3. This error is corrected and the result is renamed, Lemma 5.3. A coarse outline has been added at the end of the introduction. 95 pages

arxiv created 2008/10/23 · arxiv updated 2009/12/01

Abstract

We show that there is a metric on the Gromoll-Meyer sphere with positive sectional curvature.

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