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Relations between metrics of almost positive curvature on the Gromoll-Meyer sphere
Author:
Owen Dearricott
Journal:
Proc. Amer. Math. Soc. 140 (2012), 2169-2178
MSC (2010):
Primary 53C21
Posted:
October 12, 2011
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Abstract: We give a simplified proof that Wilhelm's metric on the Gromoll-Meyer sphere has positive curvature almost everywhere. We determine that its zero locus coincides with that of the almost positively curved metric of Eschenburg and Kerin.
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Additional Information
Owen Dearricott
Affiliation:
Department of Mathematics, University of California, Riverside, Riverside, California 92521
Address at time of publication:
Department of Mathematics, University of California, Los Angeles, Box 951555, Los Angeles, California 90095-1555
Email:
owend@ucr.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11056-6
PII:
S 0002-9939(2011)11056-6
Received by editor(s):
November 10, 2010
Received by editor(s) in revised form:
February 1, 2011
Posted:
October 12, 2011
Communicated by:
Chuu-Lian Terng
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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