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Classification of almost quarter-pinched manifolds

Author(s): Peter Petersen; Terence Tao
Journal: Proc. Amer. Math. Soc. 137 (2009), 2437-2440.
MSC (2000): Primary 53C21
Posted: January 30, 2009
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Abstract: We show that if a simply connected manifold is almost quarter-pinched, then it is diffeomorphic to a CROSS or a sphere.

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Additional Information:

Peter Petersen
Affiliation: Department of Mathematics, University of California, 520 Portola Plaza, Los Angeles, California 90095
Email: petersen@math.ucla.edu

Terence Tao
Affiliation: Department of Mathematics, University of California, 520 Portola Plaza, Los Angeles, California 90095
Email: tao@math.ucla.edu

DOI: 10.1090/S0002-9939-09-09802-5
PII: S 0002-9939(09)09802-5
Received by editor(s): July 11, 2008,
Received by editor(s) in revised form: October 16, 2008
Posted: January 30, 2009
Communicated by: Richard A. Wentworth
Copyright of article: Copyright 2009, American Mathematical Society

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