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Proceedings of the American Mathematical Society
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On the topology of manifolds with positive isotropic curvature

Author(s): Siddartha Gadgil; Harish Seshadri
Journal: Proc. Amer. Math. Soc. 137 (2009), 1807-1811.
MSC (2000): Primary 53C21
Posted: December 23, 2008
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Abstract | References | Similar articles | Additional information

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$.


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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
Email: harish@math.iisc.ernet.in

DOI: 10.1090/S0002-9939-08-09799-2
PII: S 0002-9939(08)09799-2
Received by editor(s): July 29, 2008
Posted: December 23, 2008
Communicated by: Jon G. Wolfson
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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