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Perturbation of the hope flow and transverse foliations

Published online by Cambridge University Press:  22 January 2016

Shigenori Matsumoto  and
Atsushi Sato
Shigenori Matsumoto
Affiliation:
Department of Mathematics, College of Science and Technology, Nihon University, 1-8 Kanda-Surugadai, Chiyoda Ward, Tokyo 101Japan
Atsushi Sato
Affiliation:
Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashi-Mita, Tama Ward, Kawasaki, Kanagawa 214Japan
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Consider a nonsingular vector field X on a closed manifold Mn. As a matter of fact, X always admits a transverse codimension one plane field, which however may fail to be integrable. In fact it is well known that there are many examples of vector fields which do not admit transverse foliations.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 122 , June 1991 , pp. 75 - 82
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991

References

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