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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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Existence of smooth invariant measures for geodesic flows of foliations of Riemannian manifolds
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by PawełG. Walczak PDF
Proc. Amer. Math. Soc. 120 (1994), 903-906 Request permission

Abstract:

We construct a nontrivial smooth finite measure invariant under the geodesic flow of a foliation $\mathcal {F}$ of a compact Riemannian manifold $M$ assuming that the transverse mean curvature of $\mathcal {F}$ is distributed "nicely" along some leaf geodesics.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 903-906
  • MSC: Primary 58F18; Secondary 57R30, 58F17
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1227531-6
  • MathSciNet review: 1227531