Weak stability of almost regular contact foliations

DOI10.1007/BF01222659zbMath0808.53032OpenAlexW1991356161MaRDI QIDQ1331265

Augustin Banyaga, Philippe Rukimbira

Publication date: 16 March 1995

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222659

zbMATH Keywords

weak stabilityWeinstein conjecturecontact formsalmost regular contact flowcontact foliation

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (max. 100)

Weak stability of almost regular contact foliations ⋮ Some remarks on \(R\)-contact flows ⋮ Invariants of contact structures and transversally oriented foliations ⋮ On the local systolic optimality of Zoll contact forms ⋮ On a local systolic inequality for odd-symplectic forms ⋮ On the existence and non-existence of closed trajectories for some Hamiltonian flows

Cites Work

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• Déformations de feuilletages. (Deformations of foliations)
• New generalizations of Poincaré's geometric theorem
• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• Contact manifolds in Riemannian geometry
• Geodesic foliations by circles
• Almost regular contact manifolds
• Weak stability of almost regular contact foliations
• Stability of compact leaves with trivial linear holonomy
• A Note on Weinstein's Conjecture
• Desingularisation Des Feuilletages Riemanniens
• Variational Problems on Contact Riemannian Manifolds
• On Characteristics of Circle-Invariant Presymplectic Forms
• Closed Integral Curves in 3-Space and Isotopic Two-Dimensional Deformations

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