Classification of almost quarter-pinched manifolds
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- by Peter Petersen and Terence Tao PDF
- Proc. Amer. Math. Soc. 137 (2009), 2437-2440 Request permission
Abstract:
We show that if a simply connected manifold is almost quarter-pinched, then it is diffeomorphic to a CROSS or a sphere.References
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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
- MR Author ID: 361755
- ORCID: 0000-0002-0140-7641
- Email: tao@math.ucla.edu
- Received by editor(s): July 11, 2008
- Received by editor(s) in revised form: October 16, 2008
- Published electronically: January 30, 2009
- Communicated by: Richard A. Wentworth
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 2437-2440
- MSC (2000): Primary 53C21
- DOI: https://doi.org/10.1090/S0002-9939-09-09802-5
- MathSciNet review: 2495279