Localization of abnormal curves and pairs of Poisson tensors in low dimension

DOI10.1016/S0007-4497(00)01056-3zbMath1011.53056WikidataQ126399753 ScholiaQ126399753MaRDI QIDQ1591582

Fernand Pelletier, Patrick Cabau

Publication date: 19 March 2001

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

abnormal curvesstratificationsbi-Hamiltonian systemscompatible Poisson tensors

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Existence theories for optimal control problems involving ordinary differential equations (49J15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Applications of variational problems to control theory (58E25)

Cites Work

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• The local structure of Poisson manifolds
• Large deviations and the Malliavin calculus
• Singularités d'ordre supérieur de 1-formes, 2-formes et équations de Pfaff
• Fat bundles and symplectic manifolds
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Simultaneous local classification of two compatible symplectic forms
• A survey of singular curves in sub-Riemannian geometry
• Rigid and abnormal line subdistributions of \(2\)-distributions
• Characterizations of Hamiltonian geodesics in sub-Riemannian geometry
• Abnormal sub-Riemannian geodesics: Morse index and rigidity
• Sur les singularités des formes différentielles
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• The exponential map for the Lagrange problem on differentiable manifolds

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