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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the topology of manifolds with positive isotropic curvature
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by Siddartha Gadgil and Harish Seshadri
Proc. Amer. Math. Soc. 137 (2009), 1807-1811
DOI: https://doi.org/10.1090/S0002-9939-08-09799-2
Published electronically: December 23, 2008

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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Bibliographic 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