A note on Weinstein’s conjecture
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- by Augustin Banyaga PDF
- Proc. Amer. Math. Soc. 109 (1990), 855-858 Request permission
Abstract:
We prove that the contact foliation of a compact contact manifold $\left ( {M,\alpha } \right )$ has at least one compact leaf in the following two cases: (i) $\alpha$ is a $K$-contact form and $M$ is simply connected, (ii) $\alpha$ is ${C^2}$-close to a regular contact form. This solves the Weinstein conjecture in those particular cases.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 855-858
- MSC: Primary 58F22; Secondary 58F05, 58F18
- DOI: https://doi.org/10.1090/S0002-9939-1990-1021206-0
- MathSciNet review: 1021206