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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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A metric formula for the Godbillon-Vay invariant for foliations
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by Bruce L. Reinhart and John W. Wood
Proc. Amer. Math. Soc. 38 (1973), 427-430
DOI: https://doi.org/10.1090/S0002-9939-1973-0310907-5

Abstract:

The Godbillon-Vey invariant for a foliation of codimension 1 is acohomology class defined by a $3$-form. On a Riemannian manifold, this form can be expressed in terms of the curvature and torsion of the normal curve family and the second fundamental form of the leaves.
References
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 38 (1973), 427-430
  • MSC: Primary 57D30; Secondary 53C40
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0310907-5
  • MathSciNet review: 0310907