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Lagrangian submanifolds and dynamics on lie affgebroids

Article ID Journal Published Year Pages File Type
1901211 Reports on Mathematical Physics 2006 52 Pages PDF
Abstract
We introduce the notion of a symplectic Lie affgebroid and their Lagrangian submanifolds in order to describe the Lagrangian (Hamiltonian) dynamics on a Lie affgebroid in terms of this type of structures. Several examples are discussed.
Keywords
53D1270H2070H0570G4570H03Lagrangian submanifoldsEuler-Lagrange equationsHamilton equations
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Preview
Lagrangian submanifolds and dynamics on lie affgebroids
Authors
D. Iglesias, J.C. Marrero, E. Padrón, D. Sosa,
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Journal
Reports on Mathematical Physics
Journal: Reports on Mathematical Physics
Related Categories
53D12
70H20
70H05
70G45
70H03
Lagrangian submanifolds
Euler-Lagrange equations
Hamilton equations
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
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Logic
Mathematical Physics
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