On the topology of manifolds with positive isotropic curvature
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- by Siddartha Gadgil and Harish Seshadri PDF
- Proc. Amer. Math. Soc. 137 (2009), 1807-1811 Request permission
Abstract:
We show that a closed orientable Riemannian $n$-manifold, $n \ge 5$, with positive isotropic curvature and free fundamental group is homeomorphic to the connected sum of copies of $S^{n-1}\times S^1$.References
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Additional Information
- Siddartha Gadgil
- Affiliation: Department of Mathematics, Indian Institute of Science, Bangalore-560012, India
- Email: gadgil@math.iisc.ernet.in
- Harish Seshadri
- Affiliation: Department of Mathematics, Indian Institute of Science, Bangalore-560012, India
- MR Author ID: 712201
- Email: harish@math.iisc.ernet.in
- Received by editor(s): July 29, 2008
- Published electronically: December 23, 2008
- Communicated by: Jon G. Wolfson
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 1807-1811
- MSC (2000): Primary 53C21
- DOI: https://doi.org/10.1090/S0002-9939-08-09799-2
- MathSciNet review: 2470841