Legendre foliations on contact manifolds

DOI10.1016/0926-2245(91)90022-2zbMath0728.53021OpenAlexW2083657334WikidataQ115362809 ScholiaQ115362809MaRDI QIDQ804957

Paulette Libermann

Publication date: 1991

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(91)90022-2

zbMATH Keywords

contact manifoldsJacobi structureLegendre foliationsPoincaré- Cartan integral invariant

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Foliations (differential geometric aspects) (53C12) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (17)

The foliated structure of contact metric \((\kappa , \mu )\)-spaces ⋮ Sasaki-Einstein and paraSasaki-Einstein metrics from \((\kappa, \mu)\)-structures ⋮ Nullity conditions in paracontact geometry ⋮ Contact complete integrability ⋮ Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structure ⋮ Symplectic foliation transverse structure and Libermann foliation of heat theory and information geometry ⋮ Sasaki–Ricci flow on Sasaki–Einstein space T1,1 and deformations ⋮ Integrable systems and group actions ⋮ CONTACT METRIC (κ,μ)-SPACES AS BI-LEGENDRIAN MANIFOLDS ⋮ A linear algebraic setting for Jacobi structures ⋮ Foliations and complemented framed structures on an almost contact metric manifold ⋮ On a special family of thermodynamic processes and their invariants ⋮ Some remarks on the generalized Tanaka-Webster connection of a contact metric manifold ⋮ A conceptual approach to the problem of action-angle variables ⋮ Semi-local form of Legendrian foliations ⋮ Contact Hamiltonian systems and complete integrability ⋮ BI-LEGENDRIAN STRUCTURES AND PARACONTACT GEOMETRY

Cites Work

• The local structure of Poisson manifolds
• The Structure of Legendre Foliations
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