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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On foliations with Morse singularities
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by César Camacho and Bruno Scardua PDF
Proc. Amer. Math. Soc. 136 (2008), 4065-4073 Request permission


We study codimension one smooth foliations with Morse type singularities on closed manifolds. We obtain a description of the manifold if there are more centers than saddles. This result relies on and extends previous results of Reeb for foliations having only centers, results of Wagneur for foliations with Morse singularities and results of Eells and Kuiper for manifolds admitting Morse functions with three singularities.
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Additional Information
  • César Camacho
  • Affiliation: IMPA-Estrada D. Castorina, 110, Jardim Botânico, Rio de Janeiro - RJ, 22460-320 Brazil
  • Email:
  • Bruno Scardua
  • Affiliation: Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, Rio de Janeiro-RJ, 21945-970 Brazil
  • Email:
  • Received by editor(s): September 11, 2007
  • Received by editor(s) in revised form: October 4, 2007
  • Published electronically: June 9, 2008
  • Additional Notes: The second author is supported by the ICTP Associateship program.
  • Communicated by: Jane M. Hawkins
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 4065-4073
  • MSC (2000): Primary 57R30, 58E05; Secondary 57R70, 57R45
  • DOI:
  • MathSciNet review: 2425748